What do I do when my ex wife moves out of state.

You can file to keep her here or seek kidnapping charges if she leaves.

My husband and I are separated and I am pregnant with his child. He has threatened to sue me for full custody of our baby.

Well it's not clear how he can obtain custody given what you said.

Is there any lawyers in Atlantic City or near that can do payment plans to represent me in a child custody case?

You should ask each attorney how they work their fee structure.

Filing child support after stopping it

Yes you can seek child support for the child. It's not too late.

My divorce decree said husband will pay the sum of 186 per week allocated $93 per child per week and support to the wife

Yes file the motion to address the reduction and retroactivity.

Could I go back and get child support from the ex-wife

You really can't expect it but you might be able to seek certain reimbursements.

You need to seek court permission unless you have consent because you fall within the law.

Yes you can and you should do so. Otherwise you might be precluded from seeking those items.

Name change

It is a relatively simple process so many attorneys should be able to help.

If you are under age 18 you need to file for court permission.