Have recently purchased an 02 coupe with 48k. first problem corrected was o-2 sensors replaced.
Next issue is with automatic tranny (does not lock into park each time thus no start without the shift lever being pushed forward). Not sure if there is adjustment but feel there must be.

 

Welcome to the site. Not sure about the tranny adjustment but post some pictures of your vette. We love Pictures around here. Don't forget the wave. Cheers