2013 LEXUS CT Unknown Or Other Problems

Driving down the 99Freeway at speeds approx. Up to 72mph, my abs,traction, and brake lights illuminated at the same time on my dash. I pushed on my brake pedal in order to slow down and pull over, my brake pedal was extremely hard to push in and no matter how hard I pushed it didn't appear to be slowing the vehicle down. I pushed on the emergency brake slowly to help slow down safely and was able to get pulled over. I turned the car off and proceeded to call a friend for help. My friend suggested that I start the vehicle back up and see if I was comfortable enough to continuing to drive it to get myself off of the freeway, which I did. Then when I got off the freeway, I noticed all the lights had gone off and the car felt like it was driving normal...

THE ENGINE CONSTANTLY RATTLED/SHUDDERS VIOLENTLY UPON INITIAL START FOR ABOUT 20-30 SECONDS, AND CHECK ENGINE LIGHT IS ON. DRIVING, ACCELERATION, AND FUEL ECONOMY HAS DECREASED/WORSENED. A MECHANIC IN SANTA MONICA STATED THAT THE OBD READINGS SHOW RANDOM ENGINE'S CYLINDERS MISFIRES; AND A THREE-DAY PHYSICAL OBSERVATION AFTER THE INTAKE MANIFOLD REMOVAL SHOWS: UNEXPLAINED COOLANT OIL CONTAMINATION ISSUES, OIL MIXED WITH COOLANT AT EXPANSION TANK, RAW FUEL ON CYLINDERS, FUEL BLOW BY, AND REPEATED SPARK PLUGS BURNING AFTER EACH REPLACEMENT. AND DUE TO THE HIGH COST OF FORECASTED REPAIRS AND PARTS REPLACEMENT, THE TECHNICIANS RECOMMENDED REPLACING THE WHOLE ENGINE UNIT. WE'RE EXTREMELY DISAPPOINTED, LEXUS!

STARTING COLD. FOOT ON BRAKE. PUSH START BUTTON. DASH STUFF LIGHTS UP BUT CAR DOES NOT START. TAKE FOOT OFF BRAKE AND DEPRESS GAS PEDAL. CAR STARTS. IT WILL STALL IF LEFT TO RUN WITH FOOT OFF GAS PEDAL.EASY TO RESTART BY DEPRESSING GAS PEDAL AND NO FOOT ON BRAKE. DOES THIS CONSISTENTLY. TOOK CAR TO DEALER AND THEY CHANGED THE OIL BECAUSE THEY COULD NOT DUPLICATE THE PROBLEM.