UPDATE since Slopoke is living up to his username…:ham:
I gave my good friend Ernie from Indiana a call the other night, and asked him what he thought it would be. He suggested either Distributor Pickup Coil or Ignitor box. I thought about the Ignitor box as well, but they are VERY common to die, on the 84-87 cars. They redesigned the box for the 88/89 cars, and rarely hear of them failing, so I ruled it out. But since Ernie said it could be the problem, I gave him the ignitor box out of my 88 and he put it on his car. Car starts! Yay.