Three cars were involved in a collision on an icy road. Car 1 hit his brakes to avoid another car in front of him. Car 2 hit her brakes but slid into Car 1. I am Car 3. I see them collide and move to the next lane over to avoid a collision, but when Car 2 hits Car 1, she slides sideways into my lane and ends up facing the wrong way (at a slight angle) in my lane. I try to stop, but I cannot and the front of my car hits the back driver's side of her car - not the back bumper, above the wheel well on the back wheel. I had not filed an insurance claim when HER insurance agent called me, asked me what body shop I wanted to use, and told me to take my car in to get fixed. Three days later, he calls back to tell me the claim was contested, she said I hit her from behind, and they will not pay. Who is at fault, and should I sue in small claims court for all or part of the damages? Does the fact that her insurance company contacted me first imply that she was at fault? The police issued no citations to anyone due to the icy weather and the fact that no one was speeding.