If my Asylum application gets denied, does it make any impact to my existing family-sponsored green card process?

These are two different processes and it depends on your status at the time of visa availability whether you will be able to get GC through your...

How many times it will take to complete administrative processing normally?? my full name is not very common.

once the case is in Adm processing, it's very hard to predict how much time it will take, but you can email them every 30 days and request update

Does entry denied to USA make me an arrested passenger.

U.S Cancellation of visa does not affect visa from other countries, each country has different immigration laws. it can make it little harder to...

Changing visa status

once you become illegal, you can not change your J-1 to student visa in USA and if you are under 2 year Waiver program, that also needs to be taken...

How do I get out that situation?

First important step, you need to take is to consult with an attorney and get your options straight to live freely in USA

Green Card renewal two times finger print is unclassifiable. immigration need local police clearance letter. where i get ?

Most of the time, county provides a letter with No Records found if there is none. You can try both

Are you getting U.S passport, it will be issued as per your name on the naturalization certificate.

Additional review - I485 processing

You need to keep checking. With additional review, USCIS takes long time

G1145 form while filing petition

You can check your Account for cashed check, they will send Receipt Notice with case number on it

I-730

You need to attach Order of Immigration Judge or Approval notice from USCIS and EAD. Birth certificate, marriage certificate.