I would expect that the brake handle is not down all the way, possible something is under it. When you accelerate the body tweaks enough for the switch to make contact. Just a thought.
handbrake light
Either your handbrake switch is broken and will not turn off or you have low brake fluid.
There are numerous warning lights for a Mazda RX8. Some of the warning lights are for engine oil, charging system, ABS, and check engine.
check the rear brakes for wear. if ok then just ajust them up to proper specks
the handbrake cable splits into two under neath the car. To adjust the handbrakes, alter the adjusting bold ratio at the bottom and on both sides of the car.... You can also remove the cover off the handbrake cable and tighten to size 10 bold that links the cable to the mechanisim inside the car
Put in a new fuel pump, it will save the time wasted on everything else
Read the instructions that came with it or contact the manufactuar and they could send you replacement instructions or tell you how.
don't accelerate as much or change up a gear
bollocks
Put the proper amount of air into the tires.
The check engine light on a Mazda Tribute gives warning of potential problems. It can signal overheating, low oil, or engine misfires.
The "check engine light" on a Mazda three is located to the left lower side of the tachometer. It is orange in colour.