Is mine and my boyfriend's relationship toxic?

We've been together for 7-8 months and have seen each other everyday (basically live with eachother).
When we're good, we are good and I'm genuinely so happy with him. I'm so comfortable with him, I know he'd never cheat, he's always happy to see me and spend time with me, always supportive. But here's the thing... we argue a lot.
We argue probably at least once a week now, and it always results in him leaving my flat, us deleting eachother off everything, me calling him the next day trying to sort things out, and us eventually getting 'back together again'.
It's over little things but a lot of things are to do with him: he'll make up little lies about things that don't actually matter e.g his past, he'd never help out in my flat we both stay in (in regards to cooking or washing), him getting too f**ked when partying and when we argued he came to my flat started banging my bedroom door at 4am and waking up me and my flatmates AND then broke my front door (I forgave him and put this down to just being very drunk/c*ked up and upset), he knows I have a problem with him taking xanax (unless its occasionally and not when I'm around) but he has taken it secretly in the past which leads to me to sometimes not trust that he hasn't taken it etc. But I also have flaws e.g a massive temper so when I'm angry with him I tend to call him names and be overemotional.
Yesterday we had a argument because I realised he was hiding from his friends that we were together. I saw messages of him saying that "He had spoke to me but had spent this week doing his own thing and hasn't seen me. This whole week he has been spending every day with me - which was his idea and choice, not mine. We argued and the same thing happened: he left (in his defence, the more he kept saying he wanted to leave, the more I started to tell him to just get out)
He ignored my texts and calls today so I went to his house because I wanted to speak and sort it out. He said his friends think we broke up last time we argued and said he is better off without me and that's why he's hiding me. I'm confused that's a thing as some of my friends disapprove of him (especially because he did break our front door) but I don't hide him from people.
I was crying in his room and he didn't really comfort me, kind of just watched. He sounded really done and fed up, the opposite of me. He said he wants to be with me but doesn't know if it's going to work because we keep arguing. He says he knows it's his fault. I said to give it time and I will message him in a few days, but I was crying loads at his and now I've gone home he hasn't sent me anything.

Here's the deal: I don't want to waste time and give myself false hope and I don't want to message him in a few days if this relationship is toxic and there's no hope of saving it. Or if I'm crazy for wanting to save it. Opinions?

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