no
bad connection/short or burnt out brake bulb. Check the harness both under the steering wheel and at the lights.
no a burnt out headlight will not cause a check engine light but if you go to most of the part places they will check the check engine light for free
The most likely cause is low-brake fluid.
A brake fluid leak in the brake system, LOW BRAKE FLUID.
A defective or out of adjustment brake light switch.
Check the brake fluid level in the reservoir there is a sensor there that will make the light come on if your level is low.
Brake fluid in reservoir below acceptable level.
Low brake fluid, pads worn down, other problems.
Defective or misaligned stop light switch check the bulb, brake filament might be burnt out
The " BRAKE ' light in your dash indicates that either your parking brake is on or the BRAKE FLUID LEVEL in the brake master cylinder in your engine compartment IS LOW
No , the brake light should come on when you press the parking brake pedal , but the ABS light should not come on