I told him I will be having having this baby by myself and we'll be asking to be induced so that I can arrange childcare and drive myself to from hospital. I wanted to confirm he wishes to have his name in the birth certificate but he won't respond to me.
1) No you're not driving yourself to and from the hospital, don't be ridiculous. You have no idea what kind of shape you might be in after delivery, you need someone else to drive you. This is a safety issue.
2) Induction for convenience sake is not a good idea. Induced labor is more likely to lead to complications and c/sections. I've experienced both induced labor (for post-dates) and normal labor. Don't do it!
3) I understand the difficulty of arranging childcare around the delivery, but you need to make other arrangements. Maybe have a friend who will drop the kids on ex's doorstep when you go into labor?
4) Of course ex's name goes on the birth certificate. That's not a choice - he's the father. And why wouldn't you put his name there? Wouldn't that complicate getting child support if his name's not on the certificate?