Yes. .

File a motion for contempt or show-cause. Get an expert to testify how his inaction is harming you.

Evict him. .

File a response with your objections and ask for a hearing.

Only an attorney or the party themself can represent them in court. File an objection prior to the hearing. Also ask if the party can participate...

File motion to change the parenting situation.

Seek a protective order due to the threats of domestic violence, that might make him have to leave.

If you owe child support you did not "sign your rights away". That only happens when there is a termination and an adoption. You also aren't...

You have to follow the law where the case is. It would be pretty unusual to get another chance for alimony.

You can change your kids names to anything as long as it is not for a fraudulent purpose.