Welcome to Delaware! The first thing you will want to do after the tournament ends, at about 6pm, is to eat. If you PM me with your hotel I can get you some suggestions. Other than that, there isn't much going on that night, unless you want to drive to Philly which is about an hour away. The main local sport at this time of year is U of DE basketball, but since the tournament is held at their arena they won't be playing at home that night. If the weather isn't too bad you could walk down Main Street on Newark, just down the road from the tournament. It is a nice small college town with lots of restaurants and shops.
Again, PM me and I can get you more suggestions and maybe link you up with some local teams.
The website for UD is
www.udel.edu, if you want to see what is going on there.