The fuel relay needs a signal that the engine is rotating. That signal comes from the ignition system control module. The sensor inside the distributor siupplies that signal. Get a Bentley Manual to check the sensor.

One other possibility. Since it runs on "start" position then dies, is the ignition switch providing voltage in the "run" position. Start and run are two separate contacts inside the switch and the coil is fed from the starter in the start position.