Is this a good start to my story? grammar check for me?

Chilling rain had began to fall, but the chase pursued. The car struggled to grip the road. Each turn brought a new challenge. The v8 engine far outmatched the taxi. Behind the wheel of the taxi was Carmen Winchester. She floored the accelerator. Traveling thirty-four miles above the speed limit, was still too slow. She would never make it to the hospital at this rate. She probably wouldn't make it out alive. The gas tank was nearing empty, she was escorting a criminal, and was now a suspect in a murder. This had turned form the best day in her life to the worst. Tonight was to be her last night driving the taxi. She had planned to take it easy. Pickup a few customers, have lunch, get her check, and then call it a night. After she picked up her money, and said goodbye to her friend Renee, she would head home and finish packing up her apartment.She had moved into new york hoping to make a better life for herself, but found herself struggling to get by.