Sounds like you have a bit of mess here. If fraud is suspected it could be bad news.

I130 petition for step-father

From the facts provided you were too old when they got married. You also have not mentioned what your immigration status is and that of your mother.

Flight and form questions for B2 visa extension due to covid

You have to do your best. If you are taking reasonable steps to return to your country, document them for future reference. The problem is that...

What are the options for an F1 visa holder to apply for a green card in the USA? Except marriage.

It would seem an employer based green card or perhaps an investor would be the best option.

Immigration?

COVID is delaying pretty much everything. So you will have to wait for at least a year, most likely.

I am a GC holder,currently abroad in the EU.I am a bit concerned about possible response,after EU ban on US citizens ?

Existing legal permanent residents are not under any threat of being banned from entering the United States at this time. The issue you may have...

Do I need to renew my green card if I applied for U.S. citizenship?

I would renew your green card. If something goes wrong with your citizenship application you will have to do it anyway.

The first three letters refer to the office in which the application was processed. For example, "MSC" = Missouri Service Center.

You might have a chance, hard to say for sure if there any reasons why you would be deemed ineligible to receive your green card.

The visa numberFY 2019-2020 (cancellation of removal) is already gone ?

It is a very tight cap, so you will have to wait a bit. The good news is that you go approved.