From the wiring diagrams the ignition switch needs to be in the "run" position. If you have a voltmeter you can check continuity through the switch using the ohms scale. With no power on the switch, put the car in reverse and see if you have 0 ohms across the contacts which indicate the switch is closed. If you have continuity then make sure you have 12v to the switch by measuring between the terminal and ground. If you have continuity both contacts will have power. If you have power to the switch and continuity through it, check the grounds and the light sockets.
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