Will the incident show up me even though I had no possession, never been arrested or cited and the only record is my name in a police incident report?

Years ago, I was an international student in the US and I was in a car with an American student as passenger. He got stopped and arrested by the local police for DUI and I was a passenger. We both admitted that we shared a marijuana cigarette 30 minutes before the incident. The driver was put under arrest for DUI. The cop searched us and then told me that I was not under arrest, or neither cited and he said that I am free to go. He did take my name and DOB. He told that me he needs them for the police report. He did include my name in the DUI police narrative incident report. Now that I am married and I’m outside the US, my wife filled I-130 petition for me and they are going to do a background and name check on me.