VISA stamping after H1B Transfer - Please Help

You should address these issues with your employer's immigration attorney.

Can the dreams (Deffered Action) Travel?

I agree with my colleagues.

Agree with my colleagues. You will need to file a new I-129, if that is what you mean?

Will reporting an H-1B employer to DOL for Wage & Hour claims and USCIS for fraud incriminate the employee in any way?

Agree with my colleagues.

I have a felony over 40 years ago. i have a current u.s. passport. when i cross the mexico border will that conviction show?

Speak with an attorney who specialize in Mexican immigration law.

How do i get an ICE hold taken off my fiance?

Speak to an immigration attorney with the details of your case. An immigration attorney could discuss your options.

Is it really necessary to change the name on all my official documents to "Jane L Doe Smith" from "Jane L Doe" after my oath?

I agree with my colleagues.

In SD, CA,..Do you think I can enter US by ESTA with no problem with my details?

You will need to hire a criminal defense attorney to resolve your unresolved criminal records, you will surely be prohibited from entering the U.S....

Non citizen who lives in NY. I am currently working off the books. My passport was destroyed and i have no ID. no green card.

If you are asking how you can apply for your country's passport, you would need to direct that question to your country's consulate or the embassy.

F-1 visa and how to adjust status

The best way is for her to apply for OPT through her school.