I always advise my clients to bring complete certified records, including the arrest report. You don't want to show up without it, and have your case stalled when the USCIS officer requests that you send it in. Better to be over-prepared than under-prepared.
you need to bring court certified copies of the complaint, judgment, and final disposition. That is all that the DAO will require to see if you are in San Diego or Los Angeles, it could be different in Northern or Central California so you might want to also do a LIVE SCAN which is what I believe the standard request for all USCIS AOs. The LIVE SCAN results are usually enough. Make sure your conviction does not render you inadmissible or removable by seeking an immigration attorney for guidance. Good Luck.
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I agree with Attorney Maiorova. While it is highly unlikely that you will need to show USCIS the arrest report, I would have it in the unlikely event that it contains information that USCIS may need. I highly doubt, however, that it will be needed. If you cannot get it in time, I would not sweat it. If this answer was helpful, kindly consider marking it BEST ANSWER or HELPFUL. Good luck to you.
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If the entire case was dismissed then there is no conviction. You should have the certified court disposition to show that is was dismissed. As for the arrest report, I would only take in the LiveScan report. If there is no conviction, the officer doesn't need to see the arrest report. The LiveScan report should take care of any issue (if the officer wants arrest information).
If the arrest was for anything related to drugs or domestic violence you should consult with an experienced immigration lawyer before going to the interview to assist you in dealing with any question(s) the officer might ask in relation to the arrest.