H-4 EAD Renewal Pending, AOS EAD/AP Petition Filed - Continuation of Work Permitted beyong current EAD Expiration Date?

It depends if her current EAD category is c9 or c26. If it's c26, then no. If it's c9, then yes. Based on what you said, it sounds like it's a c26...

New immigration ban effect on pending asylum cases waiting for the interview to be rescheduled because of coronavirus situation?

If you're talking about Trump's latest tweet, Trump hasn't offered any info on what he plans on doing. Consulates are already not processing visa...

Is the IRS open?

You can try to get a transcript here: https://www.irs.gov/individuals/get-transcript

PLEASE HELP ME FILING OUT AFFIDAVIT OF SUPPORT FOR WIFE AND 2 CHILDREN

Check 1 -> yes and 2 and then list your children.

How can i resolve my situation?

You have a lot going on, so please speak with an attorney. See Carl's answer. Overstaying a b1/b2 would lead to future problems in getting...

Yes, divorce means you lose legal status. You'll have an EAD, but that won't authorize you to stay in the US. You'll have to change status to...

Am I eligible for an automatic EAD extension given the COVID pandemic? I’m on a J2 visa?

No, only if you have filed for a change of status. It does not apply for any visa. You would need to file for an extension or renewal.

Does applying for unemployment has any negative effect on becoming an US citizen?

Unemployment is not considered under the public charge rule nor is it considered for naturalization. So, there's no problem.

Once you divorce, your H4 will no longer be valid, and in turn, your EAD will no longer be valid.

No, go ahead and cash it. You're only deemed a public charge if you've been on public benefits for 12 months where 1 benefit equals 1 month...