1. Yes. That is one of many ways that God manifested himself, as Jesus. That, however, does not mean that God the father, could not have been manifested as a man, or a bush, or in any way he wishes for that matter.
2. How did we come to that understanding that "the angel of the Lord" is usually understoof as a Christophany? Does Scripture say that somewhere?
3. I guess my point is that just because a man appeared and said I am the Lord, that doesn't always mean that it was God the Son. But, now we are getting into a part of theology that I don't think I will ever truly understand, as Jesus is God, and the trinity and all, so what difference does it make, right? I guess I am saying that I am not ready to jump to a premature conclusion that rules out the possibility that it could have been God the father revealing himself as a man, and that it automatically had to be God the Son. The same would be true vice versa.
Joseph Botwinick