Library/Privileged Helper Tools is empty. Library/PrivilegedHelperTools has 3 items belonging to known installed applications within it.
No, you should only have “PrivilegedHelperTools” without the spaces. Make sure the folder with spaces really is empty including hidden files, then it should be safe to delete.
fseventer (compatible until OS X 10.9.x) shows you all files which get read/written at the moment and it also has filters. So by creating the filter [path ▼] [includes ▼] "/Library/Privileged Helper Tools" and running fseventer for some time, this may reveal which process considers this folder and its contents. But nevertheless with this method you won't find out if the suspicious folder is used during booting and shutdown.