Downtown is the must see/must do if you only have one day! Good luck having enough time after going to the track and seeing the battlefield to even get there..... that's one busy day
If you do get to stoll downtown, make sure you stroll through Congress Park. Such a gem.
My food faves:
Lunch:Ravenous (crepes! very unique), Esperanto (GREAT falafel and curry), Spring Street Deli
Dinner: Longfellow's (beautiful!), Pennell's, or the Olde Bryan Inn (gets my vote)
Have fun!