My boyfriend and I have been arguing a lot this week?

My boyfriend and I have been together for 3 months and this week we've been arguing A LOT. About many different things. The relationship is already stressful because he's graduating and going back home (9 hours away) at the end of this month. I think I've just been being emotional over that and then he says and does things and I get upset and then he starts talking bad about himself or saying that I pick with him for no reason and we argue. It's really very stupid. He just annoys me with things that he says sometimes. He also drinks..which I don't like...and he got drunk last night and he was being very annoying and I decided it was late and I needed to leave and he got upset because I was leaving..even though he was falling asleep on me. So I left and we didn't talk last night and we've barely talked today. He wants to hang out..but idk why..I'm just not wanting to. Is it time to break up or what should we do? Ugh. I really do care about him..more than I've ever cared about anyone.