Get the car registered in your name and purchase a tag ASAP. You can bring these to court with your proof of insurance ans show them to the prosecutor and explain your situation. He/she might agree to dismiss as valid based on your corrective actions.
I am trying to give you a general answer to your question. We do not have an attorney-client relationship by this response on the avvo website. I have not been retained to represent you. I am licensed to practice law in Kentucky and in federal court in this state and the Southern District of Indiana. You need to seek legal advice from an attorney licensed to practice in your area..