Well if he was looking up info on premature ejaculation...it's VERY possible that he's embarrassed about that and that he has an issue with it himself. FWIW...my H is a quick shooter (as our MC calls it) too. He's never flat-out said it bothers him, but I know without a doubt that it does....he's very sensitive about this. Tries to play it off by making little jokes, but Iknow inside he's very self-concious about it.
There are excercises your H can do, methods he can try to help prevent that...but HE has to do them and be willing to give them a real go. My H can't seem to get to that point, so all I can do is reassure him that there are plenty of options if he is concerned about making sure I'm taken care of...and that I'm more concerned that we have intimate contact, I'm not really concerned with how long that contact lasts. You have to be truly sincere about this though, if you aren't it won't come across that way.
Chances are....your belly is really not the issue. I bet you will find that if you do the work with diet/exercise and get rid of that little bit of belly....this issue will still not change. It's so easy for us to feel like there is something wrong with us that our spouse finds unappealing...but you'll hear from a great many men on here that want sex with their wives that many of of them don't mind that bit of pudge that we as women hate so much. Many don't even mind that their W's gain 30-40lbs, they still want her.
Look for other things that make you feel close to your H too...besides sex. Find things that create an intimate/close feeing outside of the bedroom as well...that can help foster sexual feelings for later on. It also will help you through those times and keep you from feeling like you are drifting apart.