Hi and thanks for using 2carpros, com
Something is wrong with the switch. Either you have a bad one or the wrong one. I have attached several pictures. They show the wiring from the fuse to the switch and then the lights. You will see there is nothing other that can cause them not to work. I realize it could be a wiring issue if they never worked, but you said when the switch is partially on, they work. That tells me the switch internally isn't put together incorrectly for power to go where it needs or it is bad.
When looking at the schematics, note that I highlighted the wires for the system so they stand out. Sorry I had to break the schematic down like this, but it runs across different pages. I overlapped them enough so you can see where it continues from. Also, I have placed them in the correct order. Also, power to the headlights comes from a different wire. So they aren't related in anyway.
The only thing that could be different is if the vehicle has dual rear wheels.
Now, this leads me to my next question. You said you tried three different types of switches. I can tell you the original equipment part number (Mopar) is 56021892AA. Confirm you have the correct switch.
One last thought. Make sure fuse 18 in the under hood power distribution box is good. It is a 15 amp fuse. If you look below, picture 5 shows it running to the switch for exterior lighting.
Let me know what you find or if you have other questions.
Take care,
Joe
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Monday, March 1st, 2021 AT 12:33 PM