A judge will see that you earn more and make you pay alimony, however if you are the custodial parent then you will get credit towards child...

The NYC marriage will be valid if the DR one is not.

Is it possible to have child support arrears paid to child instead of person who had custody of child?

No. It is owed to the custodial parent not the child.

If I request that charges and order of protection be dropped as a victim in an assault 3 case, what happens to the defendant?

It is not up to you alone. Speak to the district attorney.

You make sure to oppose and if she leaves file an immediate action in court to have the kids brought back. She can move but the girls would need...

MMy daughters birth certificate is recognize only by me. She does not have a father on her birth certificate but on her baptism

You need to file a paternity petition or ask him to sign an acknowledgment of paternity.

Do i have to serve my spouse with a copy of the judgement of divorce?

Yes. If you initiated the action you should do so with the notice of entry.

My sons grandfather filed for visitation and I have a temporary restraining order on him on behalf of my son

Ask for an attorney to represent you. If you meet the financial requirements they will appoint a free attorney.

What does the divorce agreement say? Look at that and you may need to evict her.

How do I get a court order to obtain a passport for my children?

If he is refusing to sign the forms you should ask the court the next time you are there about getting the kids a passport.