I'm Lucy, and I'd be happy to answer your questions today. I'm sorry to hear that this happened.
You have a right to dispute the ticket. That means pleading not guilty, requesting a trial, and going in to cross-examine the police officer in front of a judge. You're allowed to hire a lawyer to do that, but you don't have to. They have to prove that you did something wrong, and getting pulled over is not a traffic violation. The officer shouldn't be issuing a random ticket just because he mistakenly thought you were drunk. Note that if the officer doesn't appear at the hearing, you'll automatically win. You are allowed, but not required to testify that you were not drinking, had no drinks, were driving carefully, and did not make an unsafe lane change or swerve across the lanes.
Another option is to go to court, talk to the district attorney, and see if they'll lower the ticket to something that's not a moving violation (preferably with a lower fine). The primary reason to do that is to avoid having to go back to court again for the trial.
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