Maybe her friend liked what she saw, and both her and your gf are open to a threesome. You never know.

Typically that trim piece is nailed onto the face of the surrounding wall, so if the edge of frame is not flush (frame is not as wide as the wall) then there will be a gap - it shouldn't be a functional issue though. As far as fixing it you'd need to shift the frame over which would be pretty big job and then you might have a gap on the other side of frame, lol. But also, is that a metal frame? It looks there is a bit of welding, which if that's the case, that's just the way it was put together and would be impractical to repair. I guess if it really bothers you, you could fill in gap with bondo and repaint it, but don't think that would be worth it.

I can't tell from pic what gap you are referring to - do you mean between the top of door and the frame, or a gap between the trim and frame?

uh yeah, not sure if I believe this. Even if you did put the wrong name on the present, why would you want your boyfriend to open that in front of his parents? If you were comfortable with him opening it there, just say you put the wrong name on it.