My boyfriend acts irrationally and I think he may be mentally unstable

Me and my boyfriend are otherwise very happy together, we've been together just under 2 years and love together in my student house, I'll be graduating soon and will be living together again next year with 2 friends. Recently however we've been having some really difficult problems with constant arguing, whilst I am sometimes at fault I have realised that I am often made to admit I am in the wrong when i'v acted completely naturally in order to avoid my boyfriend getting extremely angry/emotional, shouting (which is difficult because we love with other people and makes me extremely embarrassed) and leaving the house (I worry when he does this even for a short amount of time for his safety). He does suffer from depression and can often act erratically but this usually comes from the combination of alcohol and his medication, recently however he is acting like this regularly and telling me he can't cope, can't do it etc over very petty arguments, although if I say something similar he will be completely heartbroken and I know he wouldn't leave me. This morning for example I asked that in future he buys new shampoo when he uses it, as he doesn't really do much around the house (he has only loved away from home for a few months whereas I have for 4 years) and he went crazy, telling me he doesn't need to be lectured, shouting and acting angry because I'd asked him, he will also say I've said things that I haven't, like he clung on to the idea that I'd said 'it's a big deal' when I categorically hadn't, I was completely calm and aware of what I was saying. Rather than simply saying 'sorry yeah I will' it seems as though he really can't handle it when I ask him to do things like that, he often becomes very defensive and will focus on how things make HIM feel, as if I shouldn't ask him things on case it upsets him, which I don't believe is fair. I'm very head strong and I know that I don't do anything wrong by asking him simple things, however because I love him I do feel myself often giving in, today I tried to end the conversation but he continued to bring it up, saying he was so upset that I'd speak to him like a child simply because I'd asked him to buy some shampoo, it's shampoo ffs it's not a big deal. When he left for work he needed to charge his phone but was refusing to take his charger for ages because apparently he didn't speak to me, which upsets me because I'd like to know I could keep in contact in case of emergency, it seems like a very childish thing to do and I can't get my head round why he acts this way?? I know it doesn't sound major but it's stuff like this every day, and it's the petty nature of the things that cause this kind of reaction that bothers me. I love him very much and want to sort it out, but feel I can't et through. I also feel as though I can't talk to anyone as it would be awkward to discuss it with the friends I live with and most of my other friends are away/home for the holidays. I don't want to feel my personality change and me accept more ridiculous behaviour to avoid confrontation. Any advice?? Thanks

From what you have mentioned, looks like your boyfriend is attention seeking and has a mildly abusive behavior. Being with him might feel like walking on egg shells everyday. Don't know which step you take might break a shell. It will be difficult for you to stay with such a person. Will take loads and loads of patience and effort to maintain peace at home. Why is he depressed? Does he have some serious issues bothering him which leads him to alcohol?