Front parking lights and rear lights stay on when car is off

how about the parking lights in front ? are they staying on too ? sounds like possably the brake switch might need adjusted or your switch to the headlights is faulty

Are all parking lights on or just front daytime running lights only? Either case sounds like a light control module in your fuse panel stuck.

The lights are on a timer, if they don't go out after 45 to 55 seconds...it may be bad

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I was just going to tell you to look for a Short, GREAT JOB finding it.

faulty connection ,or check all your fuses from box,check fog lights fuse 1st,

has the car been in a accident, what you might need is more electrical info on your car, like a wiring diagram, I recommend a spot like fiverr.com and look up automotive information

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Check rear light fuse and wiring.

190e light switch turned counter clockwise all the way to the left is for left front and rear parking light.turn switch clockwise 1 position and the right parking and tail light will be on,turn 1 more position clockwise and all lights will be off. if lights continue to be on replace light switch

Return the direction indicator stalk to the central rest position to cancel the parking lights.

try making sure all the grounds are good