It would be a good idea for you to call the court clerk in the county of the ticket and ask what procedures they have in place to pay the ticket.
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Although the ticket and the warrant are issued through the authority of the state, it is actually the municipality that issued the ticket that controls the warrant. Sometimes a court will delay a warrant for an FTA, and sometimes will accept payment of the fine on the ticket and a fine on the FTA to resolve the case and the warrant. It could be worth your while to retain an attorney, since the attorney might be able to get the warrant withdrawn, so that you can still get deferred or dismissal on the ticket. The insurance cost benefits alone could be worth the expense.
The above answer does not create an attorney/client relationship. These responses are merely intended to provide general information about the question asked. Frequently, the question does not include important facts that, if known, could significantly change the answer. Information provided on this site should not be used as a substitute for competent legal advice from a licensed attorney in your community. The law changes frequently and varies from state to state. You should verify and confirm any information provided with an attorney licensed in your state