What will my sister do to her case? They are f3 category.

You would need to provide a little more information in order for someone to answer.

You have to wait a few more weeks. They will get back to you, eventually.

What do I need to help my mom get her residence?

You have to wait until you are 21 to apply for her green card. She may need a waiver, depending upon how she entered the USA.

Can change of status from H4 to F1 be denied if classes are fully online?

Not necessarily, the order directing that F-1 students could study via distance learning has been rescinded.

I expedited my AOS and received my EAD, I have to travel for an emergency and need the G card ASAP. can I expedite my interview?

You can request an expedited interview but this has to be a serious issue, not just a scheduling conflict.

My wife came to US legally under a different birth name than what she applied for. She was given SSN but it has been revoked ?

She should not use the Social Security number and has no authority to work at this point. She cannot work without a green card or other work...

What is Upon Consideration Of DHS Motion to Recalander and Terminate, it is hereby ordered the motion be granted?

It sounds like your case was terminated. Why are you bringing this up now? It was 8 years ago.

Aslyum seeker in Canada married to US citizen girl ?

She can submit the I-130 and have it processed at the consulate. It's not clear if you are currently in Canada or elsewhere.

Green Card process for my parents from India

You can petition for parents outside the US but you must have intent to reside in the United States. You can submit your paperwork now.

Immigration - after an INS interview we received a denial of permanent residence based on a false information on a USA visa?

She signed the paperwork so it is presumed she knew what was in it. Having documentation to prove she was not married is a good start. It is...