I hate when my bf goes out

I don’t mind my boyfriend going out. But he goes out every weekend and gets home super late and lies saying it’s just guys but there’s always other females. Also last time I was cool with it he ended up being too comfortable with this girl that was supposedly his cousin but isn’t..idk he’s lied to me before and now I just go crazy every time he says he’s going out cause I feel he’s going to cheat because of that time and other things he lied about. What do I do? He says He made mistakes and that he knows his boundaries. I told him what if the situation was flipped and he said he’d hate it. I really want to be comfortable when he goes out but my mind goes crazy with all these thoughts. Like I wake up sick to my stomach and my heart beats so fast it’s like it’s going to jump out. I really don’t like it. I want to stay with him but how do I work this out with him?