2016 SCION IA Unknown Or Other Problems

THE VEHICLE WILL INTERMITTENTLY SHUT ITSELF OFF IN THE ROAD FOR NO APPARENT REASON. THE CHECK ENGINE LIGHT AND BATTERY LIGHT WILL DISPLAY ON THE DASH. HOWEVER, WHEN I PUT THE CAR BACK IN PARK AND RESTART THE ENGINE THERE ARE NO INDICATOR LIGHTS ON AND NO CHECK ENGINE LIGHT WHATSOEVER. THIS CAR HAS BEEN LOOKED AT BY 3 CERTIFIED TOYOTA DEALERS AND NONE OF THE MECHANICS CAN ACCURATELY PINPOINT THE ISSUE. I AM CONCERNED THIS CAR WILL SHUT ITSELF DOWN IN THE MIDDLE OF THE HIGHWAY AND CAUSE A COLLISION. WORST EXPERIENCE WITH A CAR I'VE EVER HAD. SURPRISINGLY NEWER MODEL VEHICLE AND THIS DIFFICULT TO DIAGNOSE. THE CAR MAINLY SPUTTERS AND STALLS AT IDLE OR LOW SPEEDS. WE HAVE TRIED NUMEROUS TIMES TO GET AN ACCURATE DIAGNOSES. NOTHING LEFT TO DO AT THIS POINT EXCEPT REPLACE THE CAR. I FEELS IT IS A DANGER TO MYSELF AND OTHERS...

I WAS ABOUT TO PARK AT A BURGER KING STORE AT DELANO CALIFORNIA 93215 AND SLOWING DOWN WHEN MY SCION IA SPEED UP MORE AND KEPT ON RUNNING WHILE MY FOOT IS ALREADY ON THE BRAKE. SO I ACCIDENTALLY HIT THE STORE. IT ONLY STOP BECAUSE THE TIRE WHERE ALREADY UP. I TRIED TO REVERSE MY CAR BUT CANNOT MOVE ANYMORE.

@ 9851 MILES, PICKED UP THE CAR FROM AN OIL CHANGE (IN NOV. 2016.) NOTICED A LIGHT SHAKING WHEN AT A COMPLETE STOP AT STOP LIGHT. THE ISSUE CONTINUED RANDOMLY, AT FIRST NOT VERY OFTEN, THEN STARTED HAPPENING MORE AND MORE OFTEN AND BECAME MORE AND MORE INTENSE AT TIMES. CAR IS AT 18,029 MILES (6/28/17,) AND IT STILL CONTINUES TO RANDOMLY HAPPEN. HAVE TAKEN THE VEHICLE TO THE DEALER SEVERAL TIMES, THEY DO NOT KNOW WHAT'S WRONG WITH IT, NO SERVICE/ENGINE LIGHTS OR CODES. THE SERVICE MANAGER AND SERVICE ADVISOR WITNESSED THE PROBLEM IN THE SERVICE BAY. I HAVE BEEN TOLD IT IS "CHARACTERISTIC" OF THE VEHICLE (BUT DIDN'T HAPPEN FOR THE FIRST 9851 MILES,) AND I HAVE ALSO BEEN TOLD I PUT "BAD GAS" IN IT (ALTHOUGH IT'S BEEN DRIVEN 8,358 MILES SINCE IT STARTED AND THERE HAVE BEEN NUMEROUS TYPES OF GAS FROM NUMEROUS GAS STATIONS PUT...