I want to save my relationship

My fiance and I separated about a month ago- and I want to save our relationship.

We have both done horrible things to each other over our 3 years together, but we have also done amazing things. He has called me names and shown unhealthy tendancies, I have lied to him about a lot of stupid things, and I have left him twice. I've vented to all of my family and friends about the bad times, so now all they want to believe is that he is a piece of shit. He is the father to my child and will always be in my life.

My problem is- since involving all of my family in my problems, they do NOT want me to go back to him. My mom says he is absolutely terrible and actually wished death upon him. Then she told me if I go back and try to work on things, that I am a bad mother. She freaks out if she cant get ahold of me if I'm with him and treats me like a child. I am 24 years old.

He has some big issues, so do I. My heart is telling me to give it another shot for the sake of our daughter, but my family getting in my head is actually killing me.

We have both started individual therapy and are going to try to incorporate couples counseling as well. We know this is going to take a lot of work.

Is a relationship that has been really bad at times worth saving? Or is it just a waste...?