Baby dad

So it started 10 years ago. We got together, it was fine for a few months, realized he was cheating on me. Tried to continually tell him I knew and he needed to leave or stop, first mistake. He kept telling me I was crazy even tho I showed up and proved it, we worked thru it. Kinda. Ended up pregnant with my oldest a month later. Normal shit he didn’t want it, kept telling me to abort her, so I left. She’s the best thing ever. Don’t regret that one bit. We tried to make it work dozens of times, him constantly lying about being single when he was in a relationship every time we’d try again. Call him out on it we’d have a huge argument and wouldn’t hear from him again. So I decided it was time to move on. Well I did and long story short I had another daughter with the man of my dreams but turns out I was more in love with him than he was with me, fine shit happens. So leave it til years later the first guy decides he finally wants to be a dad. Okay cool we get along for the sake of her and I started to develop feelings again. He said he never stopped having them, I gave him the benefit of a doubt in him saying he was single(Altho I clearly know better) and we started trying to make it work. Well somehow I ended up pregnant again, bc somehow failed probably user error honestly, and I find out he’s still with the other girl. He’s been with her for 8 years and of course the normal drama with that and her finding out about my pregnancy ensues. Well she leaves him or him/her, still not sure how that went down, and he’s like “ all I’ve ever wanted is more kids with you” bullshit. He hasn’t shown to one appointment or asked about/helped with any of the children this entire time. But he wants more kids, right. I’ve officially given up on him as a father or anything in general towards these children but am I wrong for trying to collect child support? Not wanting to give my little boy his fathers last name?