The 89 Vette's used Multitec injectors and they are junk. They have the coil in the fuel stream, so the use of fuel cleaner destroys them. If you have a problem with one of them, change them all out. Get a set of Bosch Gen 111 from Jon Banner at FIC. You'll be surprised at the difference they make.
I had problems on my 89 with injectors. Car ran fine, went into store for 5 mins, came out and it wouldn't start. After trying for some time to start it, called the tow truck. When it got to the shop and off the truck, it started up right away. Injectors were checked and a few were bad. A bad or shorted injector will shut down the system. I changed them all out with the Gen 111 from Jon and had no more problems. I also picked up better performance and the car ran better than ever before. Anyone that still have Multitec's installed is going to have problems sooner or later. If a dealer installed or replaced only a few, they might have been Multitec's also. Your best bet is to get rid of them all and use Bosch Gen 111. Talk to Jon at FIC, he is the man to go too for injectors.