If you're talking about class icons on the scoreboard in a BG, that comes from the addon "Better Scoreboard", not Combat Metrics or a vanilla feature. Re-download that addon and make sure you have any required libraries.
Combat Metrics itself has always been weird in PvP because of the whole "stuck in combat" issue.
i have my main house (grand topal hideaway) listed in the housing tours, it has multiple target dummies, scribing altar, and grandmaster stations (in progress being filled out), as well as almost every antiquity furnishing on display to preview them