I-539 submitted and expiry of I-94?

She can stay for the time being, while the decision is pending.

The IJ issued deportation not accepting the second NTA for 10 years presence?

It is not possible to say whether your lawyer was negligent based on the information provided. It would make sense to pick a lawyer on Avvo to...

It could take 4-5 months or more, as things are backed up.

I have one simple question- I130 petition has been approved after the marriage interview. Next is , court hearing.

You will have to submit copies of the I-130 and approval notices to the Court.

How??

You can file for a work permit based on VAWA.

What is the best way for my family to come to the United States as permanent residents?

You should get married and become a US Citizen as soon as you are eligible.

How could I get a green card before graduating from college?

It depends upon your resources and family relationships at this point.

New card being produced under vawa

Is it the EAD or the green card. It is difficult to say based on the information provided.

Do I have to submit bonafide paperwork on i-485?

You are going to have to submit the I-864 as well, so there will be some documentation required to prove the sponsor can support the beneficiary.

I-485 says New card is being produced but I-130 Is still under review.

It sounds like your green card is getting produced. At this point wait for written confirmation, as online updates may not be accurate.