Car accident, no insurance?

Hi, i got into an accident Friday. I was cut off on the highway and when I went on my breaks my car started to skid out of control due to ice. A car in the left lane struck mine. I am on my fathers insurance and found out when I called my insurance company to report the accident that my policy was cancelled last July. My car and registration and insurance is all in my dads name, i am just a registered driver. If the state of RI decides to fine me for not having insurance, or the other driver decides to sue me for it, will that go against my father or myself? Thanks.