I-864, part 6/#5

The information should correspond to your tax returns.

Can I file for an Asylum while being on OPT post completion visa and also have my Employer file an H1B for me next year?

The asylum application, alone, should not affect an H-1B application.

Do I need to get the new petition for the existing visa?

You will need a current and valid petition to obtain a new L-1 visa.

J1 denial under section 306. Chances for CR1?

There could a problem do to any connection with terrorism.

Is any issue for extension h1b due to incorrect i-94 in 797 extension

The employer had best file the extension before the correct I-94 date lapses. USCIS can figure out the rest.

Just curios: What does the law says when hiring an american or one with a work permit if they have the same qualification?

An employer cannot discriminate, generally, between the two applicants.

Does taking pell grant effect my citizenship application?

No, the taking of a PELL grant should have no impact on your citizenship application.

My spouse are living out of state. I'm on student visa but my spouse is citizen. Can I file for divorce the state I'm living?

Yes, as long as you meet the residence requirements for divorce within that State.

How long after my wife files for my residency should I get a response of acceptannce

There are a great many more things involve din this process than filing an I-130.

That is very unfortunate. Consult with another immigration attorney to explore your options.