There was incredibly intense struggle session in early christianity about that. And the only options were a) he’s just god and b) he’s human and a god. No christian denomination think he was just a human, it would not be christianity anymore then.
So yeah, he’s always a god, and not just any god but THE God, omniscient and omnipotent. And yes, they did noticed the fact if he was really omniscient there would be no need for Jesus at all, but those guys were declared heretics and majority of christianity just proceeded to happily ignore that paradox, like every other one.
No… Wtf? I mean, yeah, the Gospels contradict each other, and stuff, but depending on the sect and in general therms, Jesus was never a normal man, only in the most gnostic of the gospels, Mark, which is the first one (historically) may interpret this thing, but the religious consensus is that Jesus is divine, not just a prophet like Moses, even if Jesus said that if Moses wasn’t real, he was for nothing. Spoiler:Moses never existed.
This one, even if was real, is nearly completely nonexistent in christianity.
To know more about supposed human Jesus, i would suggest reading about the essene sect rather than christian sources, since judean preachers of early I century were heavily influenced by that sect. In next two generations they went much more radical which ended in the bloodbath of uprising.
