Ex boyfriend is posting stuff on Facebook about breakup?

[K B Big Dawg]

This guy I dated that verbal abused me then my daughter (not his child)
He called her horrible things like stupid an idiot etc.
only once when she ran to my defense while he was name calling me
I broke up with him and moved away
He has been emailing me he misses my child and would like to try to repair there friendship But he is posting on Facebook that I (her mother) is a negative person who should keep my mouth shut and I live in the past. Then he seriously thinks I should let her spend time with him While he vilifies her mother
I don't even know how to handle it. He claims that he would never talk to her like that again Should I get a restraining order. Anyone else ever experience someone like this and what advise do you have.