1992 Chrysler New Yorker auto shutdown

If your talking about the asd relay, that supplies voltage to the coil--injectors--o2 heater circuit. You need to see if that relay is energized, with the engine cranking. You can also check for codes.

If that relay isn't energized during cranking, one reason might be, that the computer doesn't see the proper cam and crank signals. You need to do some testing.