Assuming that we are talking about K series Gixer Thou. (K1 thru K7) Then YES they will fit. They are 1 inch longer and have more bracing. That means they weigh more too.
yes
sure will
yes
yes it will
how fast would it make the bike
yes
No will not fit
No it won't fit, totally different mount points
Yes but its not worth the work
No. The side fairings on 2001 and 2002 gsxr 1000s are unique to those 2 years.
No