Oh man, it has been a lot of years, so I might not be much help.
Campus is beautiful. I'd spend a while just walking around.
The Duke Gardens are beautiful, but not sure what the story is with them in January.
The Chapel is great, but may be closed except by appointment.
Main Street Durham is a pretty great little area... lots of good restaurants. You'd take the campus bus over from West to East campus, and then walk to it... Main Street is only a block or so off of East Campus.
Honestly, I'd recommend posting over at DukeBasketballReport... lots of alumni, so they will totally be able to guide you along, and they generally take GREAT care of visiting fans.