The most likely cause is that a bad stop lamp bulb or electrical socket is back feeding the park light circuit causing the dash to light up..
The first thing that you need to do is remove both of the rear brake light bulbs and hit the brake pedal to see if the problem subsides.
If it does, reinstall the stop bulbs one at a time and press the brake pedal each time to see which bulb or socket is causing the malfunctions.
Please let me know what you find and we'll go from there...
Thats great news...!!!
I'm glad to hear that its all fixed up...