Talking to people isn't wrong. Whether its male or female, u should be able to speak to whoever u want to without having it thrown in ur face when he's in bad form!
My husband had an ex of his from when he was 18 on his facebook, they didn't really speak except when she first added him to say hi and have a quick catch up, but I trust him completely so it didn't worry me.
I have 2 ex's of mine on fb, one of which I chat to often, the other I'm gona delete soon cuz he keeps copying my life! But my husband doesn't say a word about it, cuz he's not a git!!
I have male friends, he has female friends, who cares?! Ur better off away from someone who is that possessive. Its good he wants to be there for his child, but don't let him fool u into thinking that makes him a good partner x