If the trans came out of the 02 F-body, The trans should bolt up to the LS2 block without any issue, just have to make sure you get a Pilot bushing in the end of the crank. Clutch, flywheel and Throwout bearing that came with the Trans should work, but you can upgrade too.
71' Chevelle, 99 LS1/Viper T56,Full Hotchkis TVS,Custom Cowl Induction CAI
84' Z-28 350/T5
88' C4 Coupe L98/A4 71' Nova - LS1/4L60E
, Full Hotchkis TVS Suspension
79' G-30 SWB 4X4 Van, 400cid / TH350 NP205
48' Ford F-1 1/2 Ton Truck, Stock 6cyc/3sp