Lots of good suggestions in the previous posts.
I'll just add a couple more:
Los Lobos is performing a benefit concert at the Park West (which is practically within walking distance of where you're staying) on June 1.
For the best ribs in Chicago, check out Twin Anchors - on Sedgewick between North & Armitage - a true corner tavern/neighborhood bar with some of the best ribs you'll ever taste.
"Finally, be courteous, impartial and firm, and so compel respect from all."