Two things that were always high on my list to check back when I was skinny enough to even fit in a corvette are first the the birdcage for rust (yes corvettes do rust) and second the vacuum operated flip up headlight assemblies. As for the headlights they can be as easy to fix as a leaking or broken hose to actual mechanical parts. Hope you like tinkering with old cars. As for the birdcage there is a great thread on the corvette forum that explains how to check and inspect it:

http://m.corvetteforum.com/c3-genera...ml?styleid=140