I'm getting caught up and was glad to read about your great vacation, that h joined you for the party and then slept over and that he acknowledged IN WRITING that you were working on your R. That's great.
Try not to worry about when/if he's going to move in with you. I think it may be better to work through your issues while you're living apart, so when/if you do move back in together, you'll already be that much stronger. I've seen so many posts here about the WAS moving in too soon and then quickly moving back out.
and that he acknowledged IN WRITING that you were working on your R. That's great.