What should I do when the baby's born

Ry
So I'm due tomorrow, and her dad situation isn't ideal. I'm 17 and he's 19, he left as soon as I got pregnant. He came back on Valentine's Day when I found out it was a girl then left again the next day and said he wants a DNA test and then he'll 'pay for it' (as in child support.. As if thats what I wanted from him, not like I want him to be a father or anything) and I don't know how to go about that. I can put his name on the birth certificate then would he come down to get his precious DNA test while we're still at the hospital or what? I'm getting induced next Friday at 41 weeks unless she comes sooner but I'm not dilated at all or having contractions so it's doubtful. So should I text him and let him know when I'm going to the hospital or when the baby is born or what? He hasn't tried to contact me since Valentine's Day and still hasn't told his parents they're gonna be grandparents yet. So I'm just not sure how to go about this.. Advice?