NYS: Can Family Court dismiss/change Qual Med Child Support Order from NYS Supreme Court, w/ non-cust father as resp relative?

As my colleagues stated, unless the Supreme Court retains jurisdiction, the Family Court can modify it.

Can I legally take paternity test with my child?

There is no law against taking a paternity test without the mother's consent.

If there is child support being takenand you still live with the child mother,Is it against the law?

If you are paying to NY State because the child is getting public assistance then you need to file a petition to vacate the order of support...

If, as you state, you filed a stipulation of discontinuance, you need to start over.

Can a child appointed attorney question a 4 year old child alone without anyone else parent or social worker etc ?

They are allowed to speak in confidence, without you present.

How do I go about removing myself and my children from an unsafe environment from my neighborhood and apartment ?

Unless there is a court order telling otherwise, just move.

Contact the clerk in the family court and ask what the procedure is to withdraw.

Can I get half of her pension plan after divorce ?

You have a right to the portion of the pension that she accrued during the course of the marriage. You need to consult with an attorney to...

What shld I do...make an Ord to Shw Cause showing why the judge's dec. was incrrect, + ask that they be ordrd back to NY4 GOOD?

Mr. Lomtevas is correct. You do not need the help of free online advise. You need an attorney to represent you.

Can I send a stern, unsolicited e-mail to a person with whom I was speaking earlier in the week who was abusive? Harassment?

You are free to speak with whomever you choose. Just be warned that a harassment charge is always possible. I find it is usually better to forget...