"Does the Quran ever call God Father? "
Not that I know of. I don't know if it forbids it. I know the scriptures it explains that God is Father just in a straightforward sense that he is Creator. Now I believe the Quran teaches God or as referred to Allah , created.
So that's another reconciliation.
"How does the Quran cover the story of Moses talking to a Burning bush? "
it covers it like manner of commanding Moses to remove his sandals for he was standing on holy ground.
"Does God call to Moses from a burning bush? "
This depends on how you think of perspective location of God. One translation says "out of the midst of the bush" and another " within the bush", yes.
Remember, God fills heaven and earth so regardless we see from the perspective in or outside or from the bush, God is everywhere in heaven and earth so likewise his voice.
"However are you agreeing that Jesus did die and was resurrected?"
I agree that the scriptures teach Jesus meaning the flesh and blood body died. See we have to be clear exactly on this because the scriptures uses language especially when it comes to Jesus in a mysterious explanation.
As the scripture teach, great is the mystery of godliness. Layers upon layers of language to unpack just like when Jesus was talking to Nicodemus. That has to be unpacked, opened up, rightly divided.
So Jesus in the flesh was put to death. As he said he'll raise it up. That body was resurrected.
"What is your take on that to be specific?"
That body was resurrected.
People didn't believe this would happen just as they didn't believe he was God for he was a man. Didn't know they we're looking at God, didn't believe he was the son for they said after he being put on the cross "truly this was the son of God". Didn't believe the body rose and one took the position "unless I see in His hands the print of the nails, and put my finger into the print of the nails, and put my hand into His side, I will not believe.”
But once he did see him and touched him, he said "my Lord and My God".
So you have multiple groups on different sides witnessing from their own perspective shaping the testimony of all these books.