for how long should the liability insurance coverage remain in effect?
As long as the registration of your vehicle remains valid.
Will the DMV suspend the driver's license and all the records of a person who has an unsatisfied judgment against them?
Yes. The DMV will suspend the license and registrations if the person fails to pay or does not comply with a judgment of more than $ 1,000 and the failure is related to a car accident, collision or crash that causes property damage, personal injury or death.