Brake lights stay on

the brake switch on that car normaly is on the brake pedal behind or in the front of it and is actuated by a little metal plate solded on the pedal if u look under the dashboard and see the pedal try to find the metal plate that is 1 or 2 milimeters from the brake switch,hope u find it.

Yes, transient current. Typically happens with damaged taillight bulbs, or poor ground. SO, when you step on the brake, rather than the current going to ground after the stop element, it goes into (and powers up) the running lights, of which dash lights are part of....
Look for ground issues, run external ground if needed, for testing purposes..

bad ground

check for a short in your wiring if its not that check the brake light switch on the brake pedal

You probably have a stuck or misadjusted brake light switch. The brake light switch located under the dash next to the brake pedal lever.

go to the link below for help, there are pictures of the whole process

http://www.2carpros.com/how_to/rear_brake_shoes.htm

Usually when it is on, it is due to either low brake fluid, e-brake is not full disengaged, or abs pump or circuit is faulty.

The positive or hot return wire for the brake light switch is now grounding out,brake light switch is now faulty or a short in the wiring is present bring the car to an auto electrician for diagnosis

If you put your foot on the brake, the tail lights and parking lights will still come on. Possibly your brake is sticking. Check to see if it is and if it is put WD40 for a quick fix. See a tech for them to fix your brake alignment. Good Luck!