I don't understand. Why does Bodie hang around the hospital? Later in their relationship, I get it, but now?

I had the same thought, and expected a change all the time.

What happened to all that deep damage? Is it just gone now? Because they saved each other this time?

It isn't gone, it's only covered, and I am quite sure it'll show up again.
What about the point being alone with this tough guy Doyle in the wilderness ? There is nobody else, so Bodie can't lose his face, what he defenitly doesn't like.
I screwed up yesterday, all right? I am aware of that, you know. The old man made it perfectly fucking clear for me, in front of all of you