First off, that push button key thingy is called a fob. Second, I have never seen a C5 Corvette key that didn't have a VAT resister in it. If your key doesn't have a VAT resister, then it definitely is not going to start the car. If you need a new VAT key, then look at this thread
. The person who owned the car before you obviously never knew the information that I am turning you on to.