2006 Mitsubishi Galant CHECK ENGINE LIGHT ON

I WAS RECENTLY REAR ENDED. I WAS AT A COMPLETE STOP GETTING READY TO MAKE A LEFT TURN WHEN I WAS REAR ENDED BY ANOTHER CAR THAT WAS GOING APPROXIMATELY 30-45 MPH. THE NEXT DAY MY BRAKE LIGHTS WENT OUT. A COUPLE HOURS LATER WHEN I WAS REVERSING OUT OF A PARKING SPOT, I WENT TO PUT THE CAR IN DRIVE AND WHEN I HIT THE GAS PEDAL IT JUST REVVED LIKE IT WAS IN NEUTRAL. THE CHECK ENGINE LIGHT WAS ALSO ON. WHEN I HOOKED THE OBD MACHINE UP TO MY CAR, IT GAVE ME A P0705 CODE. MY CAR SAT FOR A MONTH WHILE I WAITED FOR THE OTHER PERSONS INSURANCE TO CLAIM LIABILITY. WHEN THEY FINALLY DID, I PUT THE CAR IN THE BODY SHOP AND THEY TOLD ME THAT THE WIRING ON MY BRAKE LIGHTS WERE RIPPED LOOSE INSIDE. COULD ALL OF THIS BE FROM THE ACCIDENT?