I don't think not telling you he's in therapy is a bad thing, I don't think that is your business to know tbh. But the rest is enough to get rid of him over surely? He really doesn't sound like a very good partner and I am sure you could do better.

You are not even married and he is having sex with other women behind your back and lying to you. Are you planning on having children? not the most stable father figure I feel.

xxx