원글님의 경우 USCIS 에서 규정하는 DUI 에 관련된 입국금지대상이 아니기 때문에 특별히 걱정하실 필요 없고 있는 그데로 설명하시면 됩니다.
USCIS 2004년 2월 23일자의 MEMO 중 일부를 발췌한것입니다.
Significant criminal record of alcohol-related driving incidents include:
One or more arrests/convictions for alcohol-related driving while the driver's license was suspended, revoked or restricted at the time of the arrest due to a previous alcohol-related driving incident;
One or more arrests/convictions for alcohol-related driving where personal injury or death resulted from the incident;
One or more convictions for alcohol-related driving where the conviction was a felony in the jurisdiction in which it occurred or where a sentence of incarceration was actually imposed;
Two or more arrests/convictions for alcohol-related driving within the preceding two years; and
Three or more arrests/convictions for alcohol-related driving where one arrest or conviction was within the preceding two years.