No, they don't disagree, they all small part of bigger picture.
Here is how you can connect them without any problems:
Mark. 16:1 And the sabbath passing, Mary Magdalene and Mary the mother of James and Salome, bought spices, so that coming they might anoint Him.
Note! There was two Shabbat days. The Shabbat day of feast of unleavened bread and weekly Shabbat. Apparently after first Shabbat, Friday, spices were prepared and after second Shabbat they were brought to the tomb.
Mark. 16:2 And very early on the first of the week, the sun having risen, they came upon the tomb.
Matt.28:1 But after the sabbaths, at the dawning of the first of the sabbaths, Mary Magdalene and the other Mary came to see the grave.
(Mark. 16:3 And they said to themselves, Who will roll away the stone from the door of the tomb for us?)
(Luke 24:1 But on the first of the sabbaths, while still very early, they came on the tomb, carrying spices which they prepared; and some were with them.)
Matt.28:2 And, behold! A great earthquake occurred! For descending from Heaven and coming near, an angel of the Lord rolled away the stone from the door and was sitting on it.
Matt.28:3 And his face was as lightning and his clothing white as snow.
Matt.28:4 And those keeping guard were shaken from the fear of him, and they became as dead.
Note! Apparently, the earthquake and rolling of the stone was seen only by the guards, not the women that vent to the tomb.
Mark. 16:4 And looking up, they saw that the stone had been rolled back; for it was very large.
Luke 24:2 And they found the stone having been rolled away from the tomb.
John:20:1 But on the first of the week, Mary Magdalene came early to the tomb, darkness yet being on it . And she saw the stone had been removed from the tomb.
Luke 24:3 And going in, they did not find the body of the Lord Jesus.
John:20:2 Then she ran and came to Simon Peter, and to the other disciple whom Jesus loved, and said to them, They took away the Lord out of the tomb, and we do not know where they laid Him.
Note! Apparently, Mary left the tomb, while other women stayed at the tomb.
Mark. 16:5 And entering into the tomb, they saw a young man sitting on the right, having been clothed in a white robe. And they were much amazed.
Luke 24:4 And it happened, as they were perplexed about this, even behold, two men in shining clothing stood by them.
Luke 24:5 And they becoming terrified, and bowing their faces to the earth, they said to them, Why do you seek the living with the dead?
Matt.28:5 But answering, the angel said to the women, You must not fear, for I know that you seek Jesus who has been crucified.
Matt.28:6 He is not here, for He was raised, as He said. Come, see the place where the Lord was lying.
(Mark. 16:6 But He said to them, Do not be amazed. You seek Jesus the Nazarene who has been crucified. He was raised. He is not here. See the place where they put Him?)
(Luke 24:6 He is not here, but was raised. Remember how He spoke to you, yet being in Galilee,)
Luke 24:7 saying, The Son of man must be delivered into the hands of sinful men, and to be crucified, and the third day to rise again.
Luke 24:8 And they remembered His words.
7 And going quickly say to His disciples that He was raised from the dead. And behold! He goes before you into Galilee. You will see Him there. Behold! I told you.
Mark. 16:7 But go, say to the disciples and to Peter, He goes before you into Galilee. You will see Him there, even as He told you.
Matt.28:8 And going away from the tomb quickly, with fear and great joy, they ran to report to His disciples.
Mark. 16:8 And going out quickly, they fled from the tomb. And trembling and ecstasy took hold of them. And they told no one, not a thing, for they were afraid.
Note!, some think that this means they never told about the matter to anyone ever. If that would be the case, we would not have this story. That is why it is reasonable to think they only didn’t tell on their way about it.
John:20:3 Then Peter and the other disciple went out and came to the tomb.
John:20:4 And the two ran together, and the other disciple ran in front more quickly than Peter and came first to the tomb.
John:20:5 And stooping down, he saw the linens lying; however, he did not go in.
John:20:6 Then Simon Peter came following him, and went into the tomb and saw the linens lying.
John:20:7 And the grave cloth which was on His head was not lying with the linens, but was wrapped up in one place by itself.
John:20:8 Therefore, then the other disciple also entered, he having come first to the tomb, even he saw and believed.
John:20:9 For they did not yet know the Scripture, that it was necessary for Him to rise from the dead.
John:20:10 Then the disciples went away again to themselves.
John:20:11 But Mary stood outside at the tomb, weeping. Then as she wept, she stooped down into the tomb.
John:20:12 And she saw two angels in white, sitting one at the head, and one at the feet, where the body of Jesus had lain.
John:20:13 And they said to her, Woman, why do you weep? She said to them, Because they took away my Lord, and I do not know where they put Him.
John:20:14 And saying these things, she turned backward and saw Jesus standing, and did not know that it was Jesus.
Note! Apparently, the other women had left some other route from the tomb, because didn’t see Peter and May on their way. Also, the disciples that came with Mary, left and Mary stayed alone there for a while.
(Mark. 16:9 And rising early on the first of the week, He first appeared to Mary Magdalene, from whom He had cast out seven demons.)
John:20:15 Jesus said to her, Woman, why do you weep? Whom do you seek? Thinking that it was the gardener, she said to Him, Sir, if you carried Him away, tell me where you put Him, and I will take Him away.
John:20:16 Jesus said to her, Mary! Turning around, she said to Him, Rabboni! (that is to say, Teacher).
John:20:17 Jesus said to her, Do not touch Me, for I have not yet ascended to My Father. But go to My brothers and say to them, I am ascending to My Father and your Father, and My God, and your God.
John:20:18 Mary Magdalene came bringing word to the disciples that she had seen the Lord, and that He told her these things.
(Mark. 16:10 That one had gone and reported to those who had been with Him, who were mourning and weeping.)
Mark. 16:11 And those hearing that He lives, and was seen by her, they did not believe.
Mark. 16:12 And after these things, He was revealed in a different form to two of them walking and going into the country.
Matt.28:9 But as they were going to report to His disciples, behold, Jesus also met them, saying, Hail! And coming near, they seized His feet and worshiped Him.
Note! Worship = to kiss the hand, or to kneel and show homage to superior rank, for example high priest.
Matt.28:10 Then Jesus said to them, Do not fear. Go tell your brothers that they may go into Galilee, and there they will see Me.
Luke 24:9 And returning from the tomb, they reported all these things to the Eleven, and to all the rest.
Mark. 16:13 And going, those reported to the rest. Neither did they believe those.
Luke 24:10 And they were Mary Magdalene, and Joanna, and Mary mother of James, and the rest with them, who told these things to the apostles.
Luke 24:11 And their words seemed like foolishness to them, and they did not believe them.
Luke 24:12 But rising up, Peter ran to the tomb, and stooping down he saw the linen lying alone. And he went away wondering to himself at what had happened.
Matt.28:11 And they, having gone, behold, some of the guard coming into the city reported to the chief priests all things that occurred.
Matt.28:12 And being assembled with the elders, and taking counsel, they gave enough silver to the soldiers,
Matt.28:13 saying, Say that his disciples came and stole him by night, we being asleep.
Matt.28:14 And if this is heard by the governor, we will persuade him and will make you free from anxiety.
Matt.28:15 And taking the silver, they did as they were taught. And this report was spread by the Jews until today.
Note! Matt. 28:11-15 is a separate story line that seems to have happened as the same time with other events. Apparently guards told what they had witnessed in the city, while many disciples did other things.
Luke 24:13 And, behold, two of them were going on the same day to a village being sixty stadia distant from Jerusalem, which was named Emmaus.
Luke 24:14 And they talked to each other about all these things taking place.
Luke 24:15 And it happened, as they talked and reasoned, coming near, Jesus Himself traveled with them.
Luke 24:16 But their eyes were held so as not to recognize Him.
Luke 24:17 And He said to them, What words are these which you exchange with each other while walking, and are sad of face?
Luke 24:18 And answering, one of them whose name was Cleopas, said to Him, Are you only one who resides in Jerusalem and do not know the things happening in it in these days?
Luke 24:19 And He said to them, What things? And they said to Him, The things concerning Jesus the Nazarene, who was a man, a prophet mighty in deed and word before God and all the people;
Luke 24:20 and how the chief priests and our rulers delivered Him to the judgment of death, and crucified Him .
Luke 24:21 But we were hoping that He is the One going to redeem Israel. But then with all these things, this third day comes today since these things happened.
Luke 24:22 And also some of our women astounded us, having been early at the tomb,
Luke 24:23 and not finding His body, they came saying to have seen a vision of angels also, who say Him to be alive.
Luke 24:24 And some of those with us went to the tomb, and found it so , even as the women also said; but they did not see Him.
Luke 24:25 And He said to them, O foolish ones, and slow of heart to believe on all things which the prophets spoke!
Luke 24:26 Was it not necessary for the Christ to suffer these things, and to enter into His glory?
Luke 24:27 And beginning from Moses, and from all the prophets, He explained to them the things about Himself in all the Scriptures.
Luke 24:28 And they drew near to the village where they were going, and He seemed to be going further.
.... continues in next post