So I've been with my man for 5 years now. We have 2 kids

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So I've been with my man for 5 years now.
We have 2 kids now and we've been fighting alot lately.
He enjoys his beer, probably about 4 days a week. He's been picking fights lately about small things alot, like the last time we fought was because he was throwing toys at the TV and my son was emulating him and throwing things too. I asked him to stop and he started screaming at me that I am telling him what to do ECT. It was the first time but in his drunkenness he punched me and told me to leave if I didn't like it.
The next morning he was very apologetic and really tried to make sure I stayed. It's hard to give up a relationship after so long and all that we went through so I've stayed.
We only started fighting alot probably alittle over a month ago when I found out he was talking to the ex he gave his virginity to.
Now, this ex has been a big part of our fights in the last 5 years.
About a year and a half into our relationship I asked him to stop talking to his ex because it made me feel very jealous (I was barely pregnant so I was emotional). He agreed and stopped it.
I caught him texting her about a year later and confronted him. He agreed to stop talking with her again and told her he was never to contact her.
This last time i admittedly looked in his phone because he was drinking alone and would not come inside to play with his kids or pay any attention to me. He cut off from us and I needed to know why.
he said that he just wanted closure on what happened between him and her and blamed me because the guy I first kissed got out of jail and friended me on Facebook.
I never fucked the dude. In fact the dude I'm with is the first relationship I've ever been in and I've given him my virginity.
I understood his anger towards me so I stopped talking to the guy I kissed years before I knew him.
But here he was still talking to his ex and honestly I was very hurt because he knew how much I hate her.
What do I do?