+1 on everything said here. If IndieStone wants to make hosting/managing a PZ dedicated server a bearable long-term exercise, those are essential.
I know the whole dedicated MP experience is still beta (or even alpha), but simply having more logs would help A LOT.
Like, log everytime someone destroys a structure, takes items from a structure, enter/exit/damage a vehicle. Also log the world coordinates of where this happened, and this is valid for all player actions. Right now I do not think it is possible to know where a player killed another one.
On top of that, simply having a easy way for moderators/admins to teleport to any given coordinate would be great. So you can simply look at the given position in the log, and teleport to it.