Normally a denial of an extension is not a denial of admission. That being said, the questions are tricky and you should consider retaining an...

There is no direct route for you to file for a green card. You will need a petitioner. Talk to an experienced immigration attorney about how to do...

Adjustment of status

Fast track doesn't alleviate the need to show the hardship aspect. You also aren't eligible to adjust here in the US. That being said, the rules...

L1B to F1 COS

COS from what status L1B to what status? F? If you want to be able to preserve the ability to travel, you need to process the new visa at the...

Bring all biographic documents with you as well as the certificate. Normally you should be ok.

Can I apply for Form I-485 "Green Card" since I'm a child of an immigrant visa holder and I'm inside the U.S.

You are going to need a petitioner to file the I-485 on your own. when your mother enters the US as an LPR, she will need to file the petition but...

Your question isn't clear. What do you mean "file for permanent residence and move to the US" when you should be living here already?

Date of entry to the US as F1 student

Go by the visa stamp in your passport.

What document is followed for name in US passport for a foreign-born green card (GC) holder who derived citizenship from mother?

At this point file the birth certificate along with the N600 as they should use the name as on the b.c. if that's what you want.

I'm under Administrative Process for my L1 for 4 months. Can I use my B1/B2 to enter the U.S.?

You might be allowed to use your B1/B2 to enter as long as the border officer believes you will not be "employed" here. It depends on how long...