Random girls on my block list part 2

I posted the other day about this. In case u didn't see it, I basically found random girls on my block list, that my boyfriend had blocked just before we got back together after a 6 month break up. I confronted him, he said he blocked them on mine and his Facebook because he knows what they're like and would try and cause shit in our relationship. And that he just wants to settle with me and our baby and forget everyone from his past. I spoke about this with a few friends and my mom, they all seem to understand where he's coming from. I said to him all that matters is that you don't have anything to do with these girls now that we are back together, and I made him prove that he had actually blocked them on his own Facebook too. But i still dont completely believe him. Im past all of the arguing, we had enough of that before we broke up. I just want to know if I'm being taken for a fool here because if I am, I'm just going to happily leave and focus on my child that will be here in 3 months. so I'm thinking I should text all these girls to find out if what he's told me is true. I don't know if I should do this or just leave it and believe what he told me because he hasn't got any contact with them anymore anyway? Obviously I'm really nervous because my hearts going to be broken if he's lying but I know I'm going to have to leave.. what would you do?