I have a story to tell

So long story short, me and the baby’s dad planned to have a baby and he’s the one who wanted to have a baby first. We picked out baby names and he was super excited. But once I told him I was pregnant I didn’t get the reaction I was hoping for. He asked me to get an abortion and told me he’s not ready to be a dad. We broke up a few weeks after that and he didn’t talk to me for weeks and I told him I wasn’t getting an abortion and he has the right to know since he’s the father. Well he read it and never replied. So I waited until I was 10 weeks to get my first ultrasound and told his family that I was pregnant with his baby. Well his sister was the only one out of his whole family that was really there throughout the pregnancy because he told his family that I was lying about the baby being his and that I’m just trying to find a baby daddy and that he wants a dna rest. So after trying for many weeks trying to prove in many ways that it’s his I just gave up and started focusing on just me and the baby. After he found out I was having a little baby boy he kinda made his way back into my life but he’s the one making all the efforts and showing a side to him that I’ve never seen before. He isn’t denying the baby anymore and telling his friends about me and the baby. BUT when it comes to his family, he just wants to see the baby and then tell his family that it’s Forsure his. I don’t know if he still wants a dna test but that baby is going to look just like him (his mom and all his sisters look like twins). Well I’m 36 weeks and 3 days pregnant and last night I brought up the baby’s name and about my last ultrasound. He wants to go with me and is super excited. But he would like the baby’s name to be what we picked out together in the beginning. I would give in to having “Jayden Anthony Garcia” but in the beginning and all the way up until I was 26 weeks it was just me and the baby. And he hurt me by leaving and asking me for an abortion that he didn’t want the baby in the first place when he found out I got pregnant. I worked so hard throughout my pregnancy and worked overtime to get extra money to make sure to put money away since I was going to be a single mom. And finally got a place for me and my baby boy and got a big savings account for my baby just in case. Should I talk to him and tell him how I feel in wanting to keep the name I came up with which is “Aiden Leo Garcia” because I went through it alone in the beginning. And who knows if he’ll stick around when baby is actually here. Or should I give into the name we picked out since we are on better terms.