My guess would be look for shorts in the wiring to the reverse lights.
98 z28 artic white. ls1, auto, free mods, slp lid, Ħegr, Ħair, ls6 intake manifold, walbro 255lph fuel pump, ceramic coated pacesetter longtube headers, pacesetter ory, magnaflow catback, 4.10:1 gears. 9.03 1/8th mile with factory 2.73s and 30psi fuel pressure.
02 firebird sunset orange metallic. v6, auto, slp lid, zzp tubing, port matched upper and lower intake manifolds.
98 z28 build thread.