AIO for wanting to break up with my boyfriend even though we just had a baby?

My boyfriend went out with his friends last night and these are the messages I woke up to.

We have been dating for 4ish years and we have a baby together.

I’m exhausted from having being a new mom and I’m realizing he’s a shit dad and person and I’m thinking of breaking up him I’ve asked him to stop drinking and going out and he hasn’t listened. Am I overreacting?