BF tested positive for HSV2, I tested negative

I have been dating my boyfriend for about 6 months now. We both got out of very long relationships that broke up painfully and were taking it slow, a day at a time, enjoying each others company and seeing how things would go. I think we really like each other and view each other as a long term prospect, but we are not quite there yet. Both of us support our exes and are still tied up with them in some way - my bf because his ex battles crippling depression and me because my ex is a recovering and relapsing addict. We're both around 35 and trying to put the pieces of life back together and find our way after our breakups. 

About a month ago my bf had 2-3 red sores appear on his penis that he'd never experienced before. We got ourselves tested and he tested positive for HSV2 while I tested negative. We had been having unprotected sex fairly consistently till then. ore him, Before him, I had tended to use condoms most of the time during sex because I was prone to yeast infections and uti's with regular unprotected sex. He dislikes using condoms and preferred to use withdrawal while I kept an eye on my cycle and we used condoms when I was in a window around ovulation. I'd been tested after my last new partner, but he hadn't. I've read a lot about transmission and the virus, so my question is not about how we got it. Rather, I want to get opinions on whether the following request from my side is fair: Given a choice, I would rather not contract the virus. So until we decide on whether we want to make a go of having a long term relationship (moving in and kids and building a life together), I would like that we always have sex with condoms and that he be on antivirals. He has said he is not ok being on condoms forever, and I am willing to have sex without a condom after we decide we are committed to one another, but I would still like for him to use suppression therapy. Are my requests reasonable?

PS: I would like to add that in our first discussions about how to manage our sex life, he said he was skeptical about using an antiviral every day but that he would look into it. In general, he is a lot more relaxed about having HSV2 that I feel about it.

Second, it is really frustrating me that this happened because not only do we get along very well and like each other, but for the first time, unprotected sex didn't cause recurring yeast infections for me, and my sex life the last 6 months is the best its ever been both in frequency and quality.

Your requests are reasonable