How can a father go about relinquishing parental rights in NYC? What are the step by step things he must do?

You can't just "give up your rights", and then not pay child support. It doesn't work that way, because if it did, you'd have hundreds of thousands...

Can NYS child support garnishing my check if I, the mother nor the child lives in NYS?

You need to speak with child support in your home state to try to figure out the UIFSA Jurisdiction.

Can you counter-sue a former ex-wife for overpaid alimony after a spouse dies?

Unless there is some sort of unpaid amount that the estate is liable for, alimony terminates upon death.

Should I have filed a written answer to a family offense complaint, or could I answer in person in front of the judge?

As counsel said, you have many many options, but your best option is to find a way to hire an attorney.

I failed to file an court order objection for my child support order within the 30 day window, what can I do?

It is unlikely that you can undo the previous order. You may file a new petition, but you need some sort of change to prevent the application from...

My son got an ACD and I am wondering if it has movement restrictions?

I have never heard of any unless it is written somewhere.

Yeah. Why not. As long as it is not his number, and he can still get hold of you.

What can we do if my husband had an affair and now women is pregnant

As counsel said, you may want to speak with an attorney and file for support yourself, so to keep more assets. Please speak with a local attorney...

Separation agreement states "husband and wife will equally divide children for tax exemptions", but kids live with me

I strongly suggest you speak with your attorney to discuss this matter. It is very very difficult to undo an agreement signed by the two of you....

Can I have a divorce without child custody or with mutual understanding?

You really need to speak with an attorney to discuss your matter in depth. I strongly suggest you do this.