Can there be a child support case in NY and a child custody/ visitation case in VA?

Its possible. I strongly suggest you speak to counsel in both VA and NY and proceed accordingly.

Im sole custody agreement is kids can travel with mother. I have a notarised consent from dad to send kids alone international

Its unclear what type of agreement you have with the parent. I suggest you have an attorney review your agreement, so you can see if it will hold...

What would happen to the defendant if the petitioner asked the defendant to violate the judges order on visitation?

You need someone to review the order. If the father is prohibited from seeing the kids at other times, it is problomatic, but otherwise I don't see...

What is the cost of putting a middle name on my son hes 1 and a half year?

You need to click on "Find a Lawyer above" and contact attorneys in your area. We cannot solicit on here.

You need to go to the Pro se office of the Court, with proof of public assistance and ID, and they hopefully can help you.

In Order to Show Cause in NY, what can possibly happen if a def. does not respond to it? If the argu is strong, can I win?

Its possible. Or the Judge could give another chance to appear.

How do file to dismiss an order of protection against my bf if we are seeing each other

You cannot. As counsel said, you need to speak to his attorney.

How much escrow and Agreement to Identify from Title Company?

Your attorney needs to figure out the estate tax liability and figure it out with the Title Company.

It sounds like your attorney is getting you good results. Speak to your attorney.

Most Executors will require you to do it.