1) When i wll reach lvl 8 and i will still be in NYersey prison. Do this program will transport me automatic

 to some of those two other prisons or no?

2) And if i will reach lvl 8 in Putnam prison and then if i will want to go back to NJersey prison, it will be possible?

3) What will happen with my cell amenities if i will reach lvl 8 in Putnama prison, and if i couldn't go back to NJersey (If the second question answer is yes) ,  but all my cell amentities will be in NJersey prison?

1) yes.

2) no

3) your amenities go with you. Please see the wiki regarding prison moves

ok thanks