Yes, He believed His mission was to go to the cross. But in the garden, as it was now about to happen in real life, He clearly did not want to believe it, at least for a short time, and wanted to find a way around it
If Jesus ever just once had the attitude that He did not want to do what the Father sent Him to do, that would have been sinful.
So, no Jesus did not do that.
He simply asked the Father if if there be any other way let's do it the other way, but none the less the Father's will be done.
And it also reminded Christians at a later time that it was necessary not to be eager to be tortured and killed for their faith, but rather to be willing to accept it if need be.
Sounds like the lay down and let satan destroy us doctrine.
Christ was imputed with the sins of all sinners, or maybe the sins of the elect only
No, He tasted of death for ALL men, not just the elect as the false teachers claim
Hebrews 2:9 - by the grace of God should taste death for every man
Now they'll claim the "every man" part is talking about just a few but they obviously don't know what EVERY means as they attempt to read in to scripture something it does not say.
Do you think God was not going to forgive those for whom Jesus prayed for mercy?
Forgiveness is available to them as long as they turn from their sin, get born again, and abide in Christ until the end of their lives.
It does not mean people can live after the flesh all their lives and still be forgiven. We have to remember what the rest of God's Word teaches too.