Lincoln Repair Questions? Ask a Mechanic for Answers ASAP
Do you have a meter or test light for me to walk you through some checks?
Ok, I see that they all share a ground (G200) which is located behind the instrument panel on the driver side. That ground could be loose causing this problem.
The other thing they have in common is the "Smart Entrance Control Module". This is a fairly common failure item which causes the symptoms you describe. Without a meter to check the power and grounds there is no 100% way to be sure this is bad.... but there is a very high likelyhood.
If you want to purchase a meter (sears has them for under $50.00) to test the wires then I would suggest replacing the SECM.