You should call a traffic offense or traffic ticket attorney in your area. You could also call each of the courts to see what they say. However, I would not take any action with the cases until speaking with an attorney.
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I have handled traffic citation warrants for clients all over Texas. Many times no personal appearance is needed, but they may require an attorney bond. You will find that the fees have doubled since you missed your court date. However, the city attorney or prosecutor will plea bargain, greatly reducing the amounts you have to pay. Also, if you have citations for moving violations, and or license or no insurance, paying the fines or sitting them out results in convictions on your driving record. This can result in very expensive surcharges and possible suspension from DPS,. At least call an attorney and weigh your options.