Open Question: Can I Sue My Auto Insurance Company?

In 2005, as part of our divorce agreement, my ex and I decided to keep the same auto insurance but under separate policies. We had been with this company for years. My policy was on auto pay meaning that the payments were taken directly from my account. He walked in to pay his. About 6 months after the divorce, I was pulled over for a routine traffic stop and was told I was driving an uninsured vehicle. Without insurance, my registration was also invalid. Both tickets totaled 1K. My car was taken into impound. I checked and found the officer was correct. On good terms with my ex, I told him what happened. He said for the past 6 months, each time he went in to make a payment, the girl HIS was already paid. Realizing what had happened. They were applying my payments to his automobile. I was furious. I notified the agent who initially did not want to accept blame, but since the payments were automatic and my account number was on each payment they took, they were responsible. The error was compounded by the fact that the cancellation notice went to HIS address (how dumb was that!) So I had no way of knowing that I was cancelled. I was without a car for 2 weeks and lost my job. After much haggling and many sleepless nights of wondering what to do without a job or a car, the insurance company finally admitted blame, paid the impound fees of $1,250.00. The agent also said they would handle the 2 tickets totaling 1K. FAST FORWARD TO 2010 in my state, the county did a scofflaw sweep and I was summoned to court with over 5 thousand other delinquent drivers to address unpaid tickets. The order was come to court by April 30th or be arrested. Realizing this had to be a mistake, but fearful of the law, I stood in line for over 5 hours in blazing heat, then sat in court another 5 hours waiting for my day in court. I was immediately threatened with arrest because the 2 tickets were not paid. Up to that moment, I had no idea the insurance company had not paid the 2 tickets. This time, not only was my insurance and registration cancelled, my license was suspended due to the age of the infraction (5 years). In front of the judge, I called the agents' office only to be told by the secretary that they had no intention to pay the ticket. Paying to get the car out of impound was enough. When the judge heard this she was shocked and let me off with a promise to pay in 5 days. She made me promise not to drive. With no way to get home but drive, I took a chance, and was pulled over. The officer informed me that due to the vast number of outstanding cases, tags bearing our county name would be targeted for a while (talk about a police state!). I showed him my documents from the court and headed home. This is a nightmare. Would I have a case if I filed suit against my insurance company for failing in their fiduciary responsibility to a 16 year client in good standing? By the way this company is one of the largest in the country.