Only the interviewing officer can determine what he/she considers sufficient.
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If you were not arrested for the traffic violations, and those violations were not alcohol or drug related, you do not need to worry about it. You can take your driving abstract, and demonstrate it if they ask you about it.
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Be sure to advise the officer at your N-400 interview . Explain that you have "citations" and you paid the tickets, etc. Bring proof of all payments as well as all certified copies of your dispositions. I agree with my colleague - the officer will inform you what you need and has latitiude to ask for proof of your paid tickets. You are correct that they should not bar you from approval so long as not related to drugs/alcohol but that is your burden to show that.
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