No need to be that concerned. Explain to the officer as a first thing at the outset of the interview. S/he is not going to crucify you for it.
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I agree that you need not be too alarmed. Bring records of the traffic violations. When you say "under $500", I wonder what they were. If DUI or driving without a license, this could be a problem - less of a problem if they were more than 5 years ago.
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You correct them at the interview.
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