You can certainly ask, but I don't think USCIS will expedite your case for the reason you described.

Opt extension is denied ... thinking to apply for MTR.

I don't think MTR will make any difference in your case.

Affidavits/declarations attesting to the good faith marriage are certainly recommended as good examples. USCIS often places more weights on...

My understanding is a warrant for felony charge (or anything related) can be a ground of passport denial. A warrant for lesser charges may not...

AP travel document expiring on Dec 24,2016. Is there a minimum days of AP validity remaining required to reenter USA?

I agree with my colleagues. You can use AP as long as it is valid on the day you return. I'd also advise not wait until the last minute.

Can I use approved I-140 of my future employer to get H1-B extension for my current employer ?

It's theoretically possible. I'm not sure if Employer B would be happy with that.

Can an unpaid ticket which was back in 1998, that has now turned into an arrest warrant affect my parent's visa application?

It could affect the visa, and he could get arrested upon arrival. Are you sure the case out of unpaid ticket is still active after all these...

Why only my H1b extension is converted as premium and not my dependencies? Will it convert?

Maybe because USCIS could expedite H1B and deal with H4 later but not the other way around?

My husband is filling for the I-130 can the pardon that is now being allowed to be paid here be retracted by a new president?

I agree with my colleagues. I'm guessing that you are referring to I-601A provisional waiver (perdon in spanish) process. Since this process was...

Is the EAD combo card guaranteeing entrence in USA before obtaining green card?

Read the I-131 approval notice. It should say there is no guarantee of reentry or something to that effect. Since your interview is only 2 weeks...