These are not six eyewitnesses. This is not a court case. But if it were, the fact that there are some discrepancies is actually good. If there were a conspiracy, you would see six nearly identical texts, as they all compared notes. But they aren't plagiarizing, and they aren't all talking among each other to get a story straight. These are different perspectives by different people.
For example, Luke is written by a physician. He describes in depth various diseases as well as the crucifixion in detail. In The Case For Christ, they mention that the actual US Medical Board, about the most indifferent group in terms of religion, can show medically that Jesus did not swoon and did in fact die on the cross. It's medically accurate.
John on the other hand, is not written by John, despite the name (John was a bit of a narcissist, as shown by his title as one of the "sons of thunder" and his request to be at Jesus's right/left hand with hos brother). The tone of this passage is quite different, making it not written by John at all but by the dusciple Jesus loved. In fact, a book known as The Disciple Whom Jesus Loved makes a convincing case that it's Lazarus who wrote it, since it starts mentioning this disciple just after Lazarus is raised, and the disciple especially believes when he sees the burial rags off to the side (he knows their significance).
Mark is written as if everything happened "immediately" and is targeted towards Gentiles.
Matthew is written for Jews, and tend to emphasize how Jesus fulfilled prophecy.
Each of these (the other two are outside the Gospel) is written from a perspective. Now suppose on Sunday, you had four groups (or six groups). Would they all come at the same time? No, this would be a parade. They would come for different reasons at different times, and see different things. Let's discuss a kidnapping for instance, since essentially this is similar. The first guy arrives first and last, returning later. He sees the place before the kidnapping and after everything else, where the side of the house is blown up and everyone has gone. The second person sees four guys set explosives, and runs to the police. The third guy sees an actual kidnapping take place, and follows after them. The fourth guy arrives as a police officer tells everyone there has been a kidnapping. The first guy arrives again after everyone is gone. Are these four different events? Or is it a kidnapping?
Now, strictly speaking this is probably not as strict a sequence as the above, and some of these women probably stuck around longer and got to see an overlap (one angel leaving or more coming or whatever). These are stories that contradict each other, only if you're stupid and don't understand how events actually work. I've been to political events where you could see the planners setting them up. But then the media comes, and by that time the staging is done, and it looks spontaneous. Different perspective is everything. Likewise, I was actually interviewed by a reporter once, on a store that had been stolen from. The thing is, I saw only the aftermath, and to me it just looked understocked. But I was happt to play the BS game to get my 15 minutes of fame. I've got my own Christ resurrection story to tell, but I imagine you'd not believe that one either.
For that matter, Jesus is not a historical figure at all. He's ALSO a historical figure. This is an important distinction, because he's also something first. People accuse Jesus of being a plagiarized figure from Mithras (I think his name was), and he also bears similarities to Osiris and other deities before or since. This is explained by John. "The Word was in the beginning with God." Jesus ( the Word Made Flesh) was always there, and will always be there, even if the last person forgets Christianity.