Regarding the Jack Adams award-- The winner is selected by a poll of the National Hockey League Broadcasters Association at the end of the regular season.
Bylsma didn't get there early enough in the season to show his impact. Speaking personally as a Pens-watcher, I was not at all convinced until midway through the playoffs that the coaching change represented a substantial change from the Therrien system.
Mid-season coaching changes seldom result in Jack Adams awards. It just takes longer than that before a team's record begins to reflect coaching success-- their improved play can be not the coaching, but just the wale-up call. But then it also takes awhile before the good results are noticed by the broadcasters outside the team's city, and linked to an awareness of exactly what that new coach has done to get the results.