What is my responsibility for an accident during the time that my insurance coverage was cancelled?

Question Details: About 8 months ago, I accidentally rear-ended another vehicle. My auto insurance had been cancelled at the time, due in part to a vehicle vs. pedestrian incident my daughter was victim to, where the driver was uninsured and my insurance was billed. My accident resulted in damages just over $10,000 which was covered by the other party's insurance, which is now attempting to collect from me using both legal actions and a collection company. Also, due to state law, my driver's license was suspended about 3 weeks ago, however I had previously moved to another state, and received a new license for that state prior to the suspension. What are my legal responsibilities for the accident damages? Should I agree to the collection companies "agreement" to sign a contract agreeing to make monthly payments to cover the damages? Will my state drivers license suspension carry over to my current driver's license in another state?

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