Yes. Consult a local attorney who can file a written motion requesting that the judge amend the disposition of your infraction to reflect a withhold of adjudication instead of a conviction. Most judges will agree to do so in situations where a person completed traffic school, but simply did so untimely.
Yes, a traffic attorney in your county should be able to remove the points by filing a motion with the court. The attorney fee should be nominal compared to the potential insurance increases that can result from a conviction on your driving history.
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I agree if you currently have an attorney they should be able to address this matter. If not consider consulting with a local attorney.