How likely is it for a same day oath ceremony and naturalization interview at the Newark, NJ office?

That's something you'd have to request ahead of time with a compelling reason. You probably need a local attorney to make this happen.

Can I include my illegal spouse in employment based green card application? IS it going to put my application in jeopardy?

Your husband won't benefit from your employment-based green card application because he is out of status (unless he qualifies for a certain...

Its been 18 months since marriage no I 485 interview yet

You could certainly inquire by calling the customer service (800#), filling an online inquiry (if outside the processing time), or inquiring...

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...