How do I file and support a paternity suit when I am married to someone other than the biological father?

You need to file an application with the court to establish paternities and for support.

Can he cut me out if his will?

Yes he can. I suggest you speak with a family law attorney.

Is there a way to do an emergency relocation motion ?

You can file an OTSC, but given the 3 month time period, the court is likely to convert it to a regular motion. You need to file ASAP.

Can a lawyer recommend you to go on public housing if you can’t afford to stay in a certain state ?

He can make such a suggestion. You don’t have to listen to him. Sounds like you want to leave NJ and he is opposing that.

My husband said he made out a will and he wants me to sign it, can he make a will, do I have to sign it?

He cannot force you to execute a Will.

Would the office of the investigative general who looks for social security abuse send an agent to a home?

Absolutely. Hire a lawyer if you are being investigated.

Terminate parental rights & avoid child support?

The right to receive child support belongs to your child, not you. An agreement not to seek child support is unlikely to be enforceable. What...

If you receive child support, the children’s clothing is your responsibility. They should be sent to his home with enough clothes as are needed...

Probably. What does your agreement say? If it says nothing and she seeks contribution, the court is likely to order a sharing of the expense.

Can I get my own lawyer to look after my own interests in my husband's post divorce court case with his ex ?

You have no standing to be represented in the case. You have no compulsion to contribute to his child support obligation.