Replying to Entry to Germany.

So I am going to get my passport this month. I know Canada has some things where they may not allow entry for a DUI. Now, I am going to Berlin, what are the chances they will deny me access for a DUI from about four years ago? The actual charge is not DUI, it is DWAI. I also have a few little minor misdemeanors. Does anyone on here know anything about this? I know NS may not be the best place to seek this information, but I figured I would try. Thanks ,