What is "likelihood"of U visa being granted with previous 20 year old drug conviction and illegal entry?

Yes, I have had U visas granted with drug convictions.

H-1 transfer. Does H-4 needs to be re applied ?

Yes, your H4 extension is not included in the application to extend H1.

My boyfriend became a citizen married to a citizen, divorced six months ago and now he wants to marry me and ask me?

If he is a US citizen he can file a visa petition for you and your minor child.

Changing nonimmigrant visa

No, he cannot change status to F2 if he is out of status. But he could leave the U.S. and get an F2 overseas.

There is a 10 year bar, with no waiver, for people who illegally reenter the U.S. when subject to a 3 or 10 year bar to admission - do to their...

What's the pension letter the immigration ask for from my I-864 co-signer and How to get it ?

The tax return and its attachments should suffice to prove her income.

Can I file H1 after my I - 94 is expired ?

As long as your extension is pending you are in status. If the extension is granted, you can change to H1b. You can file the change to H1b while...

Can I work abroad on a J2 visa while waiting for the work permit ?

Assuming you are eligible for a work permit, you can return to your country and reenter on the multiple entry visa.

FA . . When can we expect to be notified for the interview . . please help ? we are anxious ?

Between 30 days and 1 year, depending on the embassy. Notice arrives, between six weeks and just a few days before the interview.

I want to apply for US Citizenship but my ex husband owes unpaid taxes do you think I can still apply for it?

Your ex husband's unpaid taxes should have no effect on your eligibility, and you can get your tax transcript from IRS.