A tristaff might bear some resemblance to a pastoral staff
and could assist a law enforcer more if it had a further similarity: a crook on the end, or rather a gravitic restraint function (even working at some distance).
The mitre, pectoral and ring as symbols of office are also interesting. Some illustrations of Administrators seem to wear a hooded cloak instead. A mitre helm or hood could include some useful communication and detection functions.