Can my adult children (32 and 36) ask the court to waive a portion of my 50k arrears?

No. The support belongs to the payee, not the children.

Can the state of nj sue the patents for child support for when The Department of children protection has custody of them?

Yes they can. And it sounds like they have.

What happens when I showed up at paternity testing and the mother and child did not show up , what happens next on my behalf

Report it back to the court. She may get another chance to show up if she has a good excuse.

You’re facing a $200,000 claim, but you won’t spend 5,000 to 7,500 to fight it properly. Does that sound like a good strategy?

It’s possible, but highly unlikely that you would owe alimony on such a short marriage.

Can i receive refund for child support if the child was not mine and i never signed any documentation stating so.

If you already paid it, you needed to ask the judge for it to be refunded. Did you?

We have a no contact order on each other and we both was still in contact?

What is the question? Speak to a local family law attorney.

Can I step in and manage my father's estate if his wife left him over 10 years ago and lives out of state?

Your dad would have to execute a will naming you as executrix.

Can I hand deliver final judgment of divorce?

You should do it by certified mail, return receipt requested so you have proof that you served it.

Can I sue the bus company?

You can and you should. Reach out to a local attorney to discuss the details of your son’s case.