1986 Chevy Cavalier car will not start

Welcome to the forum. Without the rpm signal there won't be an injector pulse. The ignition module needs a trigger signal from the pickup coil. Did you check the coil primary terminals? Pink goes hot when you turn on the key, white wire should have a pulse with engine cranking.

My info shows an oil pressure switch in the fuel pump circuit, once you crank it enough to bring up the oil pressure and the switch closes, the pump will run and you should have pressure.