My brake lights stay on after I turn off lights or engine. Also they will come on during the night when parked outside for over night.
brake lights on 1990 Toyota Pickup
Check the brake light switch, some are adjustable and you may just need to adjust it.
check brake switch which near to brake pedal. you have to adjust it towards pedal
My break lights on my 2001 2.4 Nissan pickup stay on when truck is off.