Sloan is wearing a special rank insignia; 4 pips with an underline.
In the background of the final scene there is what appears to be a model of the International Space Station (ISS) with a 20th/21st century U.S.A. Space Shuttle docked.
Inquisition is one of the few episodes that doesn't have a B-story.
The medical conference to which Bashir is heading is on Casperia Prime, the same planet where Jadzia Dax wanted her honeymoon in the episode Change of Heart (1998).