What can I expect from my situation

I am 20 years old I have a son (5 months old), born in FL. Me and his father are not married, He lives in FL. He is on the birth certificate & signed the paternity paper in the hospital. He has a drug problem and was very abusive to me while i was pregnant and after i had the baby, so I moved to Georgia to live with a family member. Hes on FL probation and is a convicted felon, and threatens me all the time about kidnapping the baby. I don't take it seriously, because he has no clue where i live. His dad is paying me $200.00 a month willingly, but says they will stop paying if i don't let him see the baby. How should I go about this situation, and what is the most likely outcome?