Late, but to the point! You're the first to identify Track 5 as Allen Eager's "Booby Hatch" from 1946 with Max on drums. First, too, to name Shorty Rogers as composer and arranger on Track 7.
Correct on these, too: Hawkins on Track 6, Claude Williamson soloing with Charlie Barnet's Orchestra on Manny Albam's "Claude Reigns" on Track 8, "Jersey Bounce" on #10 and your assumption that tenor and bari are same player, Parker's "Segment" and "Relaxin' at Camarillo" on #11 and #13, respectively.
Many thanks, Jeff!
Still unsolved are the orchestra on #2, who's playing on #4, the leader/group on #7 and the pianist on #9 .