I want him back but I'm confused

My boyfriend broke up with me almost 3 weeks ago. We were together for a year and a half. We had a fight because I found out he lied to me, nothing big but he knows how much I value honesty. He broke up with me after this fight, said that he is “tired of fighting” but we really didn’t fight a lot, so I felt like he didn’t really give me exact reason. A week ago we met accidentally in a shopping mall and talked a little. He said that on Friday he is going to see the new Spiderman with his friends. We were supposed to go together, so I asked him to tell me later if it’s worth to go. He remembered about it and after he got back from the cinema, he texted me. We started talking about everything and stayed up till 4a.m. He said that he misses me. When I asked him why he broke up, he said that he wanted me to be happy, that he wanted to be the best for me and apparently it didn’t work because we had arguments. I said that I was happy, that all happy couples have arguments and it doesn’t change the fact that they are happy. He is a perfectionist and has anxiety, so I kind of see where he’s coming from. He said that everytime he saw me sad, his heart was breaking because he failed to make me happy. That’s why he never told me about the things I was doing wrong, he didn’t want confrontation because he didn’t want fo make me sad. I said that if I was doing something that hurt him then I should know about it, because that’s the only way I can fix it… He said that he never cared about his own happiness, but mine. And he was bottling up emotions for so long that he just couldn’t take it anymore and broke up with me, even though it hurts him as well. I said that if he wanted me to be happy then we can try again, on new terms so we both can be happy, but he said that he doesn’t see a chance that it will work out. We both go on therapy now, so J said that the main problem is the lack of communication between us and we can both work on it in therapy. Yesterday we also chatted till almost 6 a.m.

Is there any chance of us getting back together? I really love him but also worry about him, I know he’s feeling really bad after the breakup. His anxiety is worse, he said that he only wants to get drunk to not feel pain… I am very much worried about him because of it, so even when he doesn’t want to try again, I at least want to be for him as a friend because I am scared that something bad will happen if I go no contact or something. I think that we could make it work, now that we both know what the problem was. He was living in constant stress to make me happy, so If he tried to learn that he doesn’t have to be perfect all the time. And I sometimes couldn’t control my emotions, so I think it’s something I can work on too. I really live him and I really want to try again, I know that he’s feeling bad after the breakup so I think he would want it also but just doesn’t know if it will work out, but I think it would. What should I do now? Should I try to convince him that there’s a chance or just stop talking about it, be with him and wait to see of he changes his mind?