Who is responsible?

They not you are but you do have a moral obligation which Issa legal one.

I've been fighting a child support battle since October and have a few questions as the custodial parent

Any work related child care would be part of child support and added to the guidelines. Extracurricular activities are not added to child-support...

Can I file a motion to appeal information that is on a bankruptcy petition on which I am a creditor?

You can assert falsehoods in the bankruptcy courts.

Full-time student College my son is only going 6 hours a week do I still have to pay child support he will be 20 years old this

You seem to have an argument why you shouldn't be paying for college.

There's no automatic right to an increase merely because a child gets older.

Yes but you should be filing for her to return to New Jersey.

How do I file for a reduction in alimony?

You need to file back in court for cohabitation and assert that she's sharing a marriage type relationship with the guy.

I was left 90k from my mother.1 month ago I am getting divorced . Is my wife able to get half.

No. Keep it separate from anything else and don't add or use it.

Can the mother of my child get in trouble with the courts for giving a false address

She needs to provide a proper address.

Can a non custodial parent's support be lowered if they have a new child in the requested review?

Yes you should through the review to see if additional child support is warranted.