Short answers, pulled from the story.
Maxwell Air Force Base, officially Maxwell-Gunter Air Force Base, is the headquarters of Air University and the U.S. Air Force's center for Joint Professional Military Education. It is located in Montgomery, Alabama, and operates under Air Education and Training Command.
The base was named in honor of Second Lieutenant William C. Maxwell, a native of Atmore, Alabama. Maxwell was killed on the 12th of August 1920 when his DH-4 struck a flagpole hidden in a sugarcane field in the Philippines as he maneuvered to avoid children playing below.
The Wright Brothers opened one of the world's earliest flying schools at the site in the final days of February 1910. The Wright Flying School closed on the 26th of May 1910.
The Air Corps Tactical School was a U.S. Army Air Corps institution that relocated from Langley Field, Virginia, to Maxwell Field in late 1928 and held its first training session on the 17th of September 1931. It taught aerial doctrine and is notable for producing the acrobatic team "Three Men on a Flying Trapeze," assembled by then-Captain Claire L. Chennault in 1932. The school closed permanently in June 1940.
Air University was established at Maxwell in 1946, before the U.S. Air Force became an independent service. It remains the main focus of base activities and serves as the Air Force's postgraduate academic and professional military education center.
Gunter Annex is a separate installation under the 42d Air Base Wing, originally known as Gunter Field. Its runways were closed and it became Gunter Air Force Station, then Gunter Air Force Base in the 1980s. It was consolidated under Maxwell AFB in March 1992 to form the combined Maxwell-Gunter installation.