Most likely you're using zBots (arkshine, you were right). zBot unlocks the CZ bots for use in CS 1.6, which is apparently illegal. See
http://forums.alliedmods.net/showthread.php?t=46031
GunGame 2.xx registers hooks for death, spawn, etcetera based on entity type. The CZ bots have their own entity type, and GunGame only bothers to look for them if the mod name is "czero". So GunGame is not registering the hooks for them because they are CZ bots and it doesn't think you are running CZ.
You could probably fix this by replacing all instances of "czero" with "cstrike" in the SMA file, but zBot usually causes other problems with GunGame anyway (such as crashing).
No longer around. Thanks your support, everyone! As always:
THIS ONES FOR YOU
3000 PTS