Jesus is not a Trinitarian. He says he's Jesus, envoy and servant of God, having no powers other than those God lends him, and no purposes other than God's. He says that the Father is his god. In other words, he always distinguishes himself from God and he never claims to be God.
If you check the history of Christianity, you'll find the Trinity doctrine has vague roots in the third century but doesn't find its form until late in the fourth century. In other words, it didn't exist in Jesus' day.
The churches call the Trinity 'a mystery in the strict sense'. Such a mystery 'cannot be known by reason apart from revelation' and 'when revealed cannot be cogently demonstrated by reason' (their words, not mine). A moment's reflection will tell you that this is a polite way of describing a nonsense.
For Trinity purposes, there are two realistic models ─ first, that Father, Son and Ghost each constitute ⅓ of God ─ which the doctrine rejects ─ and second that (as the doctrine says) the Father is 100% of God and separately Jesus is 100% of God and separately from both the Ghost is 100% of God, which adds up to 300% = 3 gods. The doctrine rejects that too. Instead it says that 1+1+1=1 ─ which is indeed a nonsense.
And being a nonsense, it can have the consequences you mention ─ since God is Jesus' father and Jesus is 100% of God, Jesus is his own father and the Father has no special claim to such a title, being 100% of God too, just as the Ghost is 100% of God.
Likewise a Trinitarian Jesus on the cross cries out, 'Me, me, why have I forsaken me?' And so on.
As they say in the computer world, or used to, GIGO.