Perhaps the alternator is bad, and the lights bring the battery voltage down too far. You could also have a loose connection at the battery.
Headlights might stay on in a Honda Odyssey after the engine is turned off because of a courtesy timer. The headlights will stay on for a few seconds after exiting the vehicle so the driver can go into a building at night safely. If the headlights are staying on all the time, check the timer for this feature.
Headlights run off the battery not the ignition...
I would replace the headlight switch as Ford has had their share of these problems.
Bad relay? (points burned and not releasing)
the chime would stay on if the keys are in the ignition (but the car turned off) and if the door is ajar to warn that the lights are still on
bad ground or wire connection somewhere could be shorted too or bad headlight if its immediate would say wiring trydisconecting plugs from headlights and see what happens
yes it will also cause them to blink off & on and
Nothing
There would exist probable cause to pull you over if the officer had seen you driving without your lights on even if you turned them on after you saw the police car and before you were pulled over.
Bad ground on the brake lite circuit.
First thing you want to check is the dimmer switch to see if it is turned all the way down.
Some cars have a knob for the headlights. If this knob is turned left or right when pulled out, it changes the brightness of the dashboard lights from off to full brightness.