A certified letter to the court will not help and intact will either hurt you or at best be disregarded. My advice to any pro se litigant or...

It is dependent on the motion and whether a response is needed. You can write the court and ask that no response be accepted since it is untimely...

Will a lawyer be held responsible if they know their client is actively refusing to cooperate in a court-ordered process?

No. A lawyer advises their client but has no ability or responsibility to enforce an order of the court. Lawyers are hired by their clients and it...

4 months pregnant, scheduled to move end of October.

You can go wherever you want the father of the unborn baby has no right to stop you.

What will I likely get for support, legal fees award?

You need to consult with an attorney who is familiar with high networth cases.

Can I dismiss Child Attorney from my case?

You can request it but your request will be denied and it will not help your cause.

Can I file child support in NYC if I moved to Texas, and the father lives in NYC ?

Yes. So long as father still resides in New York.

YOu need an attorney to handle this for you so that the information you have is properly presented and gets you results.

The DA has to agree to a mutual dismissal. Your attorney can discuss the option with the DA but they won't discuss any options directly with you.

Are there any NYC Family Law Attorneys that would advise a PRO Se litigant on an hourly basis?

Avvo helpline is a real resource that could help you with your specific need.