Since the Remaster constains all the DLC cars from the original game, i recommend you to use the PCDC INFERNO VAN which can be found in the Police Cars menu at the Junkyard. You can use it from the start of the game, it's heavy, a little hard to controll, but you will easily win all the Road Rage and Marked Man event with it. Make sure you frequently use break, do not go with full throttle, and try to keep it stable when your opponents are hitting you. After a few events you should have no problem learning the controls of the car.