If a team gets a bye in the playoffs, does scouting on the bye count in any way ? Also, if a team has a bye in the playoffs, do recovery from injuries count for that bye?

Scouting is calculated when your game is played, so no, there is no advantage to scouting durning a bye week (other than making sure it's set for your game). Injuries, however, do calculate during the bye week (and the week between the conference and league championships is counted as a 2-week span as well)

Oh, wow, I didn't know that about the 2-week gap between conference championships and the title game. Makes sense, mirrors real life.

Very nice!