Both offenses occurred in the U.S. My company already knows about these offenses and will in fact be mentioning it when they turn in my work permit application, so the issue will definitely be raised. Thoughts?

I am a U.S. citizen and my company has established an office in Ireland. I currently have 2 misdemeanor charges on my record (Driving Under the Influence, or DUI). The first occurred in 2003 and the second occurred July of 2008. Both cases have been settled and there will be no legal/financial oblig...