During the early part of the shutdown Will is looking for coffee and C.J. tells him to "try Swings at 17th & G." M.E. Swing Company (www.swingscoffee.com) is located at that address and is across the street from the OEOB (Old Executive Office Building, part of the White House complex).
When Josh (Bradley Whitford) compares Donna (Janel Moloney) to the rookie who played with Wilt Chamberlain, he is referencing a game on November 24, 1960 where Chamberlain set the single game record for rebounds. However, there was no such rookie (or other player) in the game that finished with no points and one rebound that would accurately complete the analogy. Josh did correctly note the correct number of points scored by Chamberlain (34), and Toby (Richard Schiff) correctly noted that Philadelphia lost to Boston that night, 132-129.
Although this episode and the previous one are not viewed as a two-parter, it picks up where the previous one left off, with the last lines of the previous episode appearing as this episode's first.
The coffee shop mentioned by C.J. (Allison Janney), "Swing's [Coffee]," has two locations, one of which is at the corner of 17th and G St.-though it closes at 7:00pm. In fact, most of the businesses around the White House close by 8:00pm.
During the government shutdown of 2013, the Speaker of the House was effectively "held hostage" by the right wing faction of the Republican Party, shutting down the government in an attempt to derail the implementation of the Affordable Care Act.