There is usually a short somewhere when you press the pedal. check all the wires under the car for a bare wire touching the body or frame.
You need to have the abs checked for codes. Then you can diagnose cause.
Check the fuses- Shift interlock is the same circuit as brake lights. As a temporary measure - try to turn the key to 1st (unlock) position shift to neutral to start vehicle and then shift to Drive.
head lights
I believe most GM cars the daytime running lights can be turned off by applying the parking brake.
yes
Check fuses, If brake lights do not work, transmission will not shift out of park. Brake light circuit is common to shift interlock. That's why you must step on brake to release interlock prior to shifting out of "Park" If stop lights are not working interlock will not release.
Check the circuitry to the backup lights. The same fused circuit is probably used for both brake lights and backup lights. As you go past Reverse, the backup light probably is turned on briefly, causing the fuse to blow. It's just a thought, but I'd think it worth checking.
your park brake
Im not sure i have the same issue... let me know if you get an answer email me at csaulspaypal@yahoo.com Thanks and good luck ill let you know if i find out anything
Leaving the parking brake on while you drive
If you have a manual gearbox you should use neutral AND foot brake at traffic lights. If you have automatic you can leave it in Drive with your foot firmly on the foot brake. (Some instructors would tell you to move it to neutral and keep your foot on the foot brake.)
probably the heat on the drive ways or some cord in the car is just messed up.