Parkin lights and headlights come on and stay on randomly. never know when it is going to happen but it always does at least 5 out of 7 days per week and battery is always dead.

Did you happen to find small pieces of plastic in the driver's floorboard? If so you unwittingly found the problem. The brake light switch is mounted so its plunger presses against a small plastic insert. The insert is pushed into a hole in the break pedal arm. When the brake is not depressed it rests the the upmost position so when the insert (when intact and unbroken) does the pushing up against the brake light switch plunger. Check the condition of the insert in the brake pedal arm and replace if necessary.

In my case, it just shut down randomly. Wait 5 minutes, then it starts. Few weeks later it happened again, then in a week, then every few days, then half the time.
That's how electronic modules fail on Fords.

you have a ghost in the machine.

check the battery connections are clean and TIGHT as a loose battery connection would cause these symptoms , check the earth for corrosion etc as well

check engine ground,body ground and fuseable links

Check your negative terminal on battery , for corrosion !

possible problem head light relay or ground wires problem

Left of the two headlight buttons for headlights and parking, there is a vertical slider. It's labeled Twilight, meaning twilight sentinel that keeps the headlights on. Move it down and that shortens the on time to about 5 seconds. If you are sittting with the headlights on and want them to go off, push it to the bottom and it turns the lights off immediately. They will turn back on when the car is put into park.

Move the slider to the top and they should stay on for about 5 minutes. BTW if you just leave the headlight switch pushed in (if you're doing it manually) the car turns everything off in about 10 minutes--inside lights, radio, lights, cigarette lighter power (unless you moved the fuse in the underhood fuse block to make them stay on permanently).

You also may not know that if you are driving or sitting and want the headlights off but the parking lights to stay on, push the Parking LIghts button. That turns the headlights off. I didn't find that for a while because our 98 LeSabre didn't have any way to turn off the headlights while cruising through a Christmas display scene in a park where many people turn off the headlights to help the effect of the colored lights. Please Rate My Response! Thanks! //

Easy way to check this is to go under the dash and unplug the remote start.. if the lights go out it is Remote start related, if not goto your local salvage yard and gran another headlight switch.. should be pretty easy...

CHECK THAT YOU HAVE AGOOD POWER FEED TO ALTERNATOR AND A VERY GOOD EARH HAD ONE A FEW MONTHS AGO IN SAME FAULT WAS APOOR EARTH TO ALTERNATOR.