The driver that caused my accident got traffic tickets from the police. Does that mean I win my case?

No. The traffic ticket case is separate from the auto negligence case. Even if the court rules that the other driver is guilty of the traffic violations, that decision does not bind the judge or jury in your negligence case; however, if the other driver pleads guilty to a traffic violation, that plea of guilty (an “admission”), can be introduced in to evidence in the negligence case.