How do you be with someone you don’t trust??

So I’m 9 months pregnant trying to work it out with my baby daddy so my son can have a family... but I don’t trust him at all. He stole thousands of dollars of stuff from me and my family when we were together to support his cocaine addiction. Apparently he cheated on me but he’ll never fully admit it... he’s lied to me about being in the Navy, I know this because his “navy uniform” was a ROTC uniform and he’s still lying about being in the navy because I admitted to him I threw it out and he told me I was disrespecting our country by doing that 🤦🏻‍♀️ he’s told me he has a brain tumor and got surgery on it yet I’ve never seen any kind of scar he says his hair covers it I’m like yeah okay . He says he has coronavirus right now but isn’t even acting sick, he takes his temperature in front of me (we face time) but he’ll never show me what the thermometer says so I don’t even think he has fever nor the virus. He’s taking acetaminophen with codeine for corona virus apparently. I just feel like he’s still lying to me, and I hate it because I want us to be together for our son. If it wasn’t for our son I wouldn’t even go back to him, but I grew up in a broken home and I don’t want that for my baby. But I literally feel like everything that comes out of his mouth is lies. Because there’s never any proof to anything he says. I don’t want to look like a fool believing him again, but I also don’t want my son growing up with a single mom. And yeah I’ve heard countless times, “you can find another man to love you and your baby” maybe these other women can but not me, I suffer from depression and anxiety and I’m just mentally ill, I know no other man will put up with that. My baby daddy has literally seen me be put in a mental institution and still stayed with me, I’m the one who left him. I’ve tried talking to other guys since we broke up and I just can’t it doesn’t feel right. But it doesn’t feel 100% right with him either and I just don’t know what to do.