So many choices...
If you are interested in tourist attractions then the many government buildings, monuments and memorials as well as the world class museums are a must. Most of these are located within a mile of the National Mall.
If you want to sample the excellent dining choices then you should check out the Washingtonian Magazines top 100 list (see related links) for a comprehensive guide to the best in the region.
If you want to enjoys sports then you can catch a Wizards Basketball game, DC United Soccer game, or see the Washington Nationals play Baseball.
Bottom line there is lots to do in DC.
Washington, DC
the Washington monument
Starting in North Carolina, you go through Virginia, then into DC
you would go west.
east
Washington, DC
Washington DC
If you are in Washington and would like to get to Indiana, you will have to go towards the west direction.
Washington - Baltimore Washington International, DC, USA (BWI) Washington - Washington - All Airports, DC, USA (WAS) Washington - Ronald Reagan National Airport, DC, USA (DCA) Washington - Washington Dulles, DC, USA (IAD)
there are no counties in Washington DC because Washington DC is a city itself.
There is an underground passage in Washington DC. This is in place in case of an emergency so that the President and important staff can go there if the need arises.
you would have to go west to get from Washington to Indiana.From Washington District of Columbia to Indiana.