2010 MAZDA MAZDA5 Power Train Problems

AT A FULL STOP WITH MY RIGHT FOOT ON THE BRAKE, THE CAR JUMPED (AS IF BEING HIT FROM BEHIND) AND THE ENGINE BEGAN REVVING AS IF I HAD MY FOOT PRESSING DOWN AS HARD AS POSSIBLE ON THE ACCELERATOR. I HAD TO PUT THE CAR INTO NEUTRAL AND TURN THE CAR OFF TO GET IT TO STOP. THIS HAS HAPPENED SEVERAL TIMES SINCE FEBRUARY AT RANDOM INTERVALS RANGING FROM 4 MONTHS TO 1 WEEK APART BETWEEN INCIDENTS AND IN ALL DIFFERENT TYPES OF WEATHER. MAZDA'S COMPUTER IS TELLING THEM THAT PRESSURE IS BEING APPLIED TO BOTH THE BRAKE AND THE ACCELERATOR AT THE SAME TIME, AND THEREFORE THEY SAY THEY CANNOT COME UP WITH ANY OTHER CAUSE THAN THAT I AM PUTTING MY FOOT ON THE ACCELERATOR AT THE SAME TIME AS THE BRAKE. THIS IS NOT THE CASE. I VIDEO-TAPED THE LAST OCCURRENCE. THE CAR GOT UP TO...

AROUND 26000 MILES, I NOTICED MY 2010 MAZDA 5 STARTED SHOWING DIFFICULTY SHIFTING. THERE ARE 2 NOTICEABLE TIMES WHEN IT OCCURS, 1) WHEN TRAVELLING BETWEEN 30-40MPH AND YOU REMOVE YOUR FOOT FROM THE ACCELERATOR FOR 5 SECONDS OR SO AND THEN DEPRESS THE ACCELERATOR TO INCREASE SPEED, THE CAR FAILS TO RESPOND UNTIL YOU ALMOST PUSH THE PEDAL TO THE FLOOR, AND 2) WHEN ACCELERATING OUT OF A TURN OR WHEN TRAFFIC LIGHT TURNS GREEN AS YOU APPROACH SLOWLY, THE CAR FAILS TO RESPOND WHEN YOU DEPRESS THE GAS PEDAL TO ACCELERATE. I REPORTED ISSUE TO DEALER AND THE STANDARD ANSWER "UNABLE TO DUPLICATE" WAS GIVEN AND IT WAS STATED BY THE DEALER THAT A TRANSMISSION FLUSH IS RECOMMENDED AT 25K-30K MILES FOR THE MAZDA 5. I CHECKED THE MAINTENANCE SCHEDULE FOR A 2010 MAZDA 5 AND THERE IS NO INDICATION OF ANY INSPECTION OR REPLACEMENT OF TRANSMISSION FLUID FOR...