What would you do? Boyfriend getting lap dances and possible cheating

My boyfriend and I have been living together for about 2 years now. We have a one month old son. When I was pregnant I found out that he had gone to a strip club and didn't want to tell me about it - but finally confessed to it later that night. When I was 9 months pregnant, I found out through his friends gf that they had gone to the strip club another time, and he had told me he was out at the bar - so again he lied to me about it.
I recently got into his email account because I have lost trust in him and found emails sent to two girls on craigslists about getting together for sex. When I confronted him about the emails - asking why he was emailing girls on craigslist - but he said that he didn't remember that ever happening and that I was making it up. I said I saw them and it was stupid to keep lying about it. He said when we could get to a computer he would let me look at his sent messages and see that that never happened. The next day - while he was at work - I looked at his email and surprise - the messages he had sent were deleted and when he got home he still said that the emails never happened. So I told him word for word what they said and he got this stupid look on his face. He started apologizing and saying that he was drunk when he did it because he really didn't remember doing it and that he did delete them because after I mentioned them he looked adn saw he really had, and was embarrased about it.
I asked him to tell me what else he had lied to me about and he said that he had gone to the strip club at least 2 more times that he lied to me about(while I was pregnant I very specifically told him how much it would hurt and upset me if he went to the strip club because I was feeling uncomfortable in the way I looked) and he said that he had gotten a lap dance. I got pissed about the lap dance and he said that it was bought for him by a friend and he just received it - which isn't true because he clearly got out of his seat and went into the back to get it. I think that having a naked woman rubbing her body on you while your pregnant girlfriend is at home is cheating. He thinks that the strip club is no big deal and that I'm overreacting about the emails because he was drunk and doesn't remember them.
I am so hurt and I feel so betrayed and I am absolutely disgusted by him. I feel like if he's going to lie about these things there is probably more that he has lied about. I don't know what to do. I feel like I should leave him and that this is never going to work out. But I wish it could and right now I am not working and have no money saved up for my own place... And most importantly I don't ever want to have to fight for custody of my son and I know that's going to happen if we move out. Has anyone else been in a similiar situation? What did you do ? Am I over reacting? I just need some opinions on this. Thanks.

• SHARE THIS QUESTION:
•