Dome light won't shut off after truck is off and doors are shut and door ajar light is on while driving but all three doors are shut.

hello, you should try clicking the batten its yellow?
send the answer again if you don't have the batten

You need to have the Body Control Module scanned to determine the cause here, guess work won't solve the probem.

It can be issue with faulty sensor or a wiring issue.Troubleshooting is required.
Click the help link shown below:---
Door Ajar Light and Dome Light Remains ON? http://whoisbyme.blogspot.in/2012/06/2003-mercury-sable-door-ajar-light-and.html
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Door ajar light stays on? http://technoanswers.blogspot.com/2012/01/door-ajar-light-stays-on.html

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Thanks.

Check all of the door jam switch either one of them is stuck or one of them is faulty.

Each door has a door ajar switch in the latch. You can either take some WD40 lube each latch opening and shutting each one 4 to 5 times after spraying, or you can replace the switch

i must say that i feel your pain with this,, my door ajar light does the same thing but my dome light doesn't come on when the doors are open, i have to flick the switch on the dome light to make it come on. In my opion and i stress my opion it saounds like a issue with the body controller, im not sure what ford calls it but it controls all the body functions, i dont think the low coolant light is connected to the body contoller but i dont know this for sure, i think that light is controlled bny the engine ecm. some times a dealer can connect to the body controller and see if there are any fault codes for circuits that it controls and or monitors, also they can reflash or update the configeration and or calibration level cause ford release's fixes for issues all the time, same theory works for any control module on a vehicle. i dont think any of the auto parts stores have the right program to connect to bofy controlers but i could be wrong, worth looking into. i only put up with mine cause i use it as a beater, if you are worried about your dome light staying on and drianing your battery then you could pull out or disconnect the dome lights for the time being, its not a fix but just a band-aid.

The door switch provides a ground to the dome light... so there is no danger to you if you want to attempt a removal of the switch. A rusted or shorted wire in the door switch (of any door) will keep the dome light on.

It could be a bad contact on the slider door,(or any of the doors) but they were known for the slider door contact.

If it has automatic or a domelight that stays on for a while after you shut the door is on a timer relay and that is probably getting bad. As far as the door ajar message there is a switch in the door jam, look and see if you see it. Take wd40 and try to soak the switch try to get it inside the switch.If its incorporated in the door latch spray back inside the door latch real good. Open and close the door several times and see if it works then.

next to the head light switch there is a roller switch. roll it down one click tell me what happens. sorry if you already tried this. good luck.