Is there luggage storage

Yes. Baggage claim is in the 1st floor.

I don't think so, probably you have to check with the event organizer if they made up one.

Generally, the McCormick Place coat & baggage checks accept luggage and are located throughout the campus. Prices and location can vary depending on the show organizer. They do not accept laptops, cell phones, furs, and purses.

That area is so modern and I believe that they have one.