So Scared

So me ex (child's father) is threatening me with trying to half & half custody. We are 17 and 18 (he's older) he has no job but plans on doing all this once he gets a job. He's not on the birth certificate so he would have to pay $300 for a DNA test proving he's the father as well (which he is and even he knows that) the reason why he's not on the birth certificate is because he was barely around while I was pregnant and when he was he was begging me to get an abortion, give our son up for adoption, or was physically abusing me (sadly I didn't go to the police because I didn't want him to get in trouble) He's angry because I refuse to let our son go with him places by their self. For the simple fact that he was abusive towards me and cannot be trusted. He has a very short temper and I don't want something to happen our child. Plus he moved and I don't even know where he lives now. Also our son is 2 and he sees him MAYBE once a month (sometimes less than that) he also NEVER gets his son anything he needs and hasn't gotten him anything since Christmas when he got our child two pairs of shoes and a $1 car. Our son doesn't know him as "Dad" he's more like a visitor instead of a father. Honestly I'm just so scared that he will get half custody of our son, so many people tell me it's something I shouldn't worry about considering he hasn't done jack crap for our son but I still worry about it bad. My baby has been with ME his whole life, I'm the one whose raised him by myself for almost two years and honestly it'll break my heart if he can just swoop in after not doing crap for his son and get some kind of custody.