Do I need the Bona Fide Job offer or Request for Job Portability ( Supplement J) for Green card interview?

Usually, a Supplement J is needed. As you know, it confirms the continued availability of the job opportunity.

It appears that USCIS is calling you in so that they can interview you on your VAWA adjustment application.

EAD Approval But Not Received yet

It's only been 30 days since your EAD was approved. AND there is a partial Government shutdown. Give it a little more time for the card to arrive.

Does my future company need to know about my O1 visa petition status when they apply for my GC based on future commitment?

It's up to you what you wish to reveal. But, most times it is best to advise your lawyer so that he can give you the best representation.

After O1 visa finishes can I apply for B2?

You can most certainly apply for a B2 visa.

Can I gain other country's permanent residence while being a full-time student in the US?

Applying for and being granted permanent residence in another country will not impact your status in the U.S. You just need to have the correct...

Can the immigraiton court or asylum office finds out about a person’s past travels to the U.S who’s related to you ? And how ?

The court can find anyone's travel record if they need to. Legal entry and exits to the U.S. are recorded.

Permanent resident interview

If your son meets the criteria and qualifies for his green card through his stepmother, he should not be denied because of your criminal activities.

How is it possible that the date in Visa Bulletin is later than Receipt date for a case inquiry in Vermont Center (I-130)?

Start checking the Visa Bulletin AFTER you have received your approval on the I-130. Before that happens, the Visa Bulletin does not apply to you.

What to do if the petitioner received a Notice of Intend to Deny from USCIS?

The chances of what? Submitting the requested documents? The chances that the husband is not a threat to his wife?