Domestic abuse or ...?

I've posted here before about my relationship to gain advice from anyone who's been in my shoes or has anything to say to help. I feel like I walk on eggshells a lot and I don't want to do things that will "upset" him cuz I don't want to fight and have it turn into a blow up. He finally moved out like 2 weeks ago and a week later basically came back as per usual crying, apologizing and promising things would change. I feel like my house (which I own alone and he lives in) is a frat house with his buddies coming in and out and drinking and smoking... we argue, sometimes he gets in my face and a while ago he was yelling at me standing close to me as I was against a wall sort of, and he took his index and middle finger together pressing them on my shoulder as he yelled. I told him to back up he said oh I'm not even close I said you're touching me though he says oh whatever barely.

He pushed me a couple months back. And whenever we get on the topic of that stuff plus the name calling he says either situation never happened and I tend to exaggerate my stories.. he makes me feel dumb and second guess myself although I know I'm always SOBER and can remember what happened unlike him drinking daily

I guess I just wanted to vent and see if anyone has shared some similar experience and what you did.. I just feel like I can't leave him cuz I will feel so alone and broken. I have anxiety and depression and medicated for it..