No, he played the trombone.
A full discography lists well over a thousand songs. Just a few of the most well-known include Moonlight Serenade (the band's theme) In the Mood String of Pearls At Last Sun Valley Jump Don't Sit...
he palted swing music
Glenn Miller played the trombone as well as being a bandleader - you could call him a conductor as well
1938 - in June (for about 4 days between the 18th and 27th)
yes he does just looked it up