Please advice

The stamp should be enough, since she is authorized to work as an asylee, however, it may be a good idea to apply for a work permit.

My question is can a review take only 4 days. I get different story about my case

Supervisory review will likely take more than 4 days.

How to get i797 dulicate copy

You can request a duplicate copy through USCIS customer service. No premium fee is needed.

Probably not as long as you can prove your identity. Consult with an attorney.

What should I do to move forward with my green card interview

An experienced attorney would have have foreseen these issues and avoided the hassles you are encountering now. Consult with one to avoid any...

I94 is about expire

It is not clear why the CBP would not extend the stamp in his passport, but you should be able to file for an extension of his I-94 with USCIS. ...

With information I listed above please answer all my questions listed above. Need to know the process and costs for a visa for h

This case is very complicated. You need to consult with an attorney to fully understand what must be done.

Different civil surgeons for the same family members?

They do not have to be from the same civil surgeon.

Changing from an H1-B to an investor visa, is it possible?

It may be possible to change to E-2 nonimmigrant investor status, depending on what country you are from. Consult with an attorney.

Can a L1B visa holder avail Leave Of Absence with Loss Of Pay while staying in the US?

"Benching" is not permitted, so you must be very careful in these circumstances.