Once the court gets done with you, your parents' insurance company will have a go.
A license suspension is generally grounds for cancellation of an insurance policy which means that your parents will suffer a considerable increase in rates just to keep insured even if they exclude you from the policy.
Even after the suspension period, assuming the insurance company allows you back on the policy, the surcharge will remain for several more years.
If you were my kid, your car would get sold and you'd be riding the bus for the next few years.

