What you can and shouold do is sue the "at fault" driver. I don't understand why an arbitration finding which went against the at fault driver could hurt your case, assuming you are not that driver. Even if you are, you will not be bound by the finding in that arbitration unless you were a party to it. Usually, an arbitration in that situation is between the insurance companies and delas only with the property damage the insurance company has paid.
The statute of limitations on such a cliam is two years, so you have only until September 12, 2014 to bring your suit or it will be barred.
Answered on May 26th, 2014 at 6:42 PM