Track 2
"Avalon" played by a quintet featuring Count Basie and Eddie Lockjaw Davis. Hot mainstream trumpeter reminiscent of Clark Terry and Roy Eldridge, but I don't think it's either of them. Joe Newman, perhaps? Probably recorded under the Norman Granz aegis - Pablo or some such.
Track 3
"Limehouse Blues"
Track 5
This great track is from Duke Ellington's Jazz Party. Jimmy Rushing sings "Hello Little Girl", the Ellington orch roars behind him, Dizzy takes the trumpet solo, Sam Woodyard is much in evidence and it's Jimmy Jones - not Duke - on piano.
Track7
This one's a bit early for me, but - Rex Stewart? - just guessin'