What Should I do?

I agree with Mr. Aalsberg's answer. The only people who are about you are you and your lawyer. Hire a lawyer.

Nj bergen county 3rd degree shoplifting charge

Depends on the amount. Third degree is anything over $500 (up to $75,000).

Can you be sentenced with no Discovery?

Yes, it is possible, but it isn't smart. I can't say I would never allow someone to plead without discovery, but it would be a very very rare...

Can my parents stay in the US while their I130/485 is under process ?

If the I130/485 were appropriately filed, they MUST stay in the US until receiving advanced parole or permanent residence. You have notified USCIS...

If my daughter was denied for her husband petition, can i petition her as a daughter of U.S citizen?

As long as the denial was for insufficient evidence and not fraud. A petition for a daughter take smuch longer than for a spouse.

Pending interview for marriage based green card at Newark USCIS for more than 8 months?

Just be patient. You will be scheduled. Don't believe everything you read online.

Am i eligible for immigration?

You need to speak with a lawyer to discuss the details of your case. It is not clear from your question.

Without a crystal ball or well-tuned Tarot cards, no one here can predict the future or divine the details of your case and interview. YOu need to...

I have one question regarding my situation please help me out!

If you want specific advice, you need to hire a lawyer. Your one question is not such a short or simple answer, either.

Can I ever become eligible for adjustment of status while holding a J1 visa with 2-year requirement?

You cannot ignore the home residency requirement. Speak with a lawyer about your options.