Can I stay beyond my 3 year L1B and current 3 year H1B visa in US without Green Card under processed?

The solution is that you will have to find an employer who will file your green card. All the best.

Is it possible to renter the USA on an F-1 visa after deportation for falling out of status and violating the terms of visa

Yes, you will need a waiver first before going to the consulate. I agree with my collegeaus you should consider talking to an immigration attorney...

What does this whole thing means anyway, administrative processing..

If the officers suspect something with your application they send it for another round of reviews and verifications. It is quite common these days,...

What if B1B2 to H4 status change get denied?

If it gets denied she will have acquired unlawful presence which might be bad news for her. Hopefully you consulted an immigration attorney to help...

Should I go for F1 stamping to my home country or convert my status from H4 to F1 in USA?

It is quicker done from outside the US compared to COS from inside the US. If your school starts in June you are better off changing status in...

Can I file for a green card through marriage a few days after termination of employment as an H1-B holder?

That would not be a problem, as long as you had a legal entry to the US (which you did) you should be fine. Consider getting assistance from an...

B2 Visa Case Assessment

Without knowing the reason for denial it is not possible to predict your chances. Consult with an immigration attorney. All the best.

You should file a FOIA to get a copy of your documents. If you had attorney you can contact their office to help you find the date.

Can I work here as a teacher being F2 holder? Or can I study to earn teaching certificate

You may not be able to get an EAD while on F2. You should talk to an immigration attorney about a possible change of status. All the best.

How can I can immigration to accept parole in place

You need to contact customer care to find out what is going on. All the best.