Can i fly to Hawaii or Puerto rico using my Mexican passport as a non US citizen?

In your case, your spouse can travel to Hawaii with the DACA approval and her passport. She can also carry the advance parole document.

How long does take the review process by USCIS? what i can do to resume the case, or even close it and open new

You can re-file the FORM I-130 and start over again if your spouse is taking your calls.

Will an illegal immigrant be deported instead of getting parrole.

I do not believe that the person in your fact pattern will be paroled from prison but will instead be transferred to removal proceedings.

Your spouse with the H-4 status can file the FORM I-765 with the previously approved FORM I-140.

How do I notify the NVC of my change of address after I-130 has been approved?

At the time that you change address you will need to file the AR-11 and notify USCIS of the new address. If the case has been approved by USCIS,...

Your spouse's employer can request premium processing of the FORM I-129L. However, the FORM I-539 can not be premium processed. A cap subject FORM...

Process to apply for F2 status while staying in the USA

You should file the FORM I-539 at this time and request the change of status to the F-2. As supporting evidence you will need the marriage...

If I am currently a J2, request extension, and in the meantime my company files a L1B, will I be able to leave and enter the US?

If the FORM I-129 L was filed as a change of status , your departure will certainly have an impact on the request of the L-1B status. You will...

Do I have reasons to be afraid of? Can I possibly be granted asylum, provided i qualified all requirements?

You should obtain the immigration file that contains the removal order from 13 years ago. Then you need to consult with an experienced immigration...

After submitting H4 application, can I work on H1? If yes -Till when? Once H4 approves or till d day I submit my H4 application?

You can continue with the H-1B status until such time that USCIS grants the change of status to the H-4.