Check to make sure that the Gen 1 bulb is not burned out. It is essential to make the charging circuit work.
The relays are standard Bosch relays commonly used for fog light relays or other automotive applications. Ask for an AC relay for a 1989 Jeep Cherokee at the parts store.
The starter relay is a common GM relay used for the HVAC controls. I believe that it is the same as the Heater Relay in a 1978 Chevy truck with AC.
There is no relay for the GEN 1 side. The three relays under the dash are for the 24V equipment to isolate the 24V from the 12V systems. 24V Voltmeter, GEN 2 and Starter Solenoid.
Pull the voltmeter out and check for voltage between the orange and black wires. Should be 24V there. If there isn't, check the relay under the dash (one of the two black relays). To test, you can swap the two and see if the voltmeter works and the Gen 2 light doesn't.
Gen 1 could be a bad ground or power connection on the alternator itself. But the first and easiest thing to check, especially since the lights in the instrument panel are troublesome sometimes, is the Gen 1 light in the cluster. A failed bulb WILL prevent the alternator from charging and an LED (probably not your problem, but I'll include for future searchers) will not work because it doesn't provide enough resistance.
Later,
Joe