Yes, good questions.
I think a little like Dessert that the incarnation serves a great purpose in allowing us a better opportunity in getting to know God (in terms we can readily understand).
concepts like infinity and beyond 4 dimensions and omnipresense etc might force us to think about God through a prism of an exercise in logic - like Buddism / Islam IMHO.
The incarnation allows us a better personal understanding of God.
With the question of God experiencing / knowing pain, i would guess that he would, although it is a difficult question.
Knowing everything is hard to do i would guess unless you are ‘wearing anothers shoes’. Can i know how an ant is ? Or a great singer / artist ? Or a mentally handicapped person ? etc.
Can i really know that without being that in some way ?
And in being a limited creature can God still be God ?
Jesus speaks of a multiplicity of God. Not a multiplicity of Gods, but a multiplicity of God. He is in the Father, and the father in him just as He is in us and we in him if we abide in him. This is also a joining of spirits.
I guess in this way God can experience many things without necessarilly limiting himself.
So with the idea of a Trinity and a multiplicity of God, i think He can experience things such as pain.
I think with a lot of the reported Marian apparitions Mary speaks of a God in pain for our sins and being much offended.
Multiplicity of God and joining of spirit would fit in there as well.
just thinking out loud.
