Thank you Jadedmoonbeam for your concern.
Actually I thought the 'No Contact Contract' was one I make with myself. I agree that including him in the contract would give him more opportunities to abuse me. So I don't plan on doing that.
This is such a difficult predicament I'm in since he is the father of my child. Still I feel strongly about her knowing him. He is so crafty in creating doubt in myself as a good mother.