Current events are part of the ol' roller coaster ride. You've done a lot of hard work--don't spoil it with ultimatums or allow the green-eyed-monster to trash it all.
Your sitch sounds ALOT like mine, all you can do about any of it is focus on positives (and there are a lot of them), consciously DIRECT your thoughts in positive ways--out loud if you have to. Especially when you start feeling jealous or anxious. Reality is what it is. But you have the power to shape the future.
Keep working to show him that the changes are sticking. About the intimacy, I have had the same feelings. However, I read somewhere on these boards that all intimate contact builds the bonding between you. And at this point, I think it's very important. Using it as an ultimatum could be very damaging. However, I do think it's important to protect yourself as well. You'll do the right thing.