Family….the ties that bind

So I have a question: Does family, no matter what you do forgive you for every wrong doing and let you back in no matter what?

I have a family member that for years and years has taken advantage of many of the other family members and abused them in certain ways.  They would like the door reopened because now they are married, have children, and are pregnant with a new child.  I’ve told them they have to prove themselves worthy.  It’s very hard when you trust someone and they continue to trespass against you, to open that door again.  So I’m still on the fence and for the most part I’m supported in my decision to keep them out of my life.  This person is ALWAYS drama, always.  And right now I choose against the drama.