What will account for a review time of 4weeks in a premium processing of 1-140 ?

Only if they were issued a Request for Evidence. Otherwise, it wasn't filed PP.

Grandfathered for 245i?

Are you listed in the approved petition? Not via your sister, maybe based on your mother's petition.

Can i adjust status?

You need to schedule a consultation with an attorney at the very least and go through all the issues and the process. Asking questions on Avvo can...

Probably will not cause issues, but ask the school to correct it and give you a new I-20. They should have the correct name on the document.

What are options after H1b extension rejection having i140 approved?

This question is too involved and too detailed for Avvo. You need a consultation.

I believe this is a duplicate posting. The answers won't change. You can travel with valid identification. No-one on this forum can guarantee you...

Avec visa G4 peut on demander carte verte?

You have to review the following: https://www.uscis.gov/green-card/other-ways-get-green-card/green-card-international-organization-employees.

EB1A retrogression affects I-485 interview process?

If your AP is valid, then you can use it to return and you don't need the H4 stamping. It is always a good idea to maintain another nonimmigrant...

What to Do if I539 H4 extension come after requested I94 date?

If you have H1B new approval, why are you asking about H4 extension, is it for a dependent?

Can i get a fly domestic if my I94 is over ?

Yes, there is a risk, although probably a very small one. In the past, this has not been an issue, but now, who knows.