Child's last name is mine. Can the father of the child force can I be forced to change it. I reside in new York state

You do not have to agree to a name change on behalf of the child.

Can it effect my Immigration status or any other aspect in the future if I sign the Divorce papers? or should I fight it?

Your best bet is to ask this question of an attorney whose practice is in the area of immigration law.

In court, the mother of my child will attempt to use digital information against me, but she has hacked my account many times.

The focus is not to denigrate each other, but what is best for your child. You must redirect your energies for the sake of the child(ren) as that...

When can I do when the custodial parent leaves the child with me (mom) for a month at a time like 3x a yr . I am supp. to have

You should consult with a good lawyer and then file a petition for custody clearly explaining the circumstances. Good luck!

What are the odds of me receiving custody of a child that is not mine if both parents sign her over?

You should consult with and then hire a good attorney to navigate the legal issues. Since you have had the child for three months and both parents...

Paternity Testing

No. Just make a motion for testing or wait until the next court date.

Does he have grounds for a downward modification?

Not sure which Magistrate in Queens Family you are before, but, while he is not required to have two jobs, the manner in which's he's going about...

No.

Why can't child sup be modified where there is a settlement agreement from before Oct 2010 - doesn't say never able to modify.

it's not quite as black and white as the other attorney is portraying it...wait a few more years and you can go back to Court or speak with your ex...

What kinda fathers rights does he have?

You should consult an attorney to determine the father's legal relationship to the child as he might have signed an acknowledgement of paternity...