The OOC room
Assume starting equipment and money as if FIRST level- after all, the characters needed jobs.
However...
Constables may draw two weapons from the Crown arsenal, for official use, and you will be responsible for them.
Plenty of each are available:
Halberd - with a distinctive head, merely carrying this thing tells people you are on official business.
Light Crossbow - free bolts, too, but you will have to account for their use.
Short Sword
Mace
Quarterstaff
Net
When the military handled law enforcement (technically, that time, which everyone is eager to put behind and forget, ended the moment the first character signed on as Constable) the preferred watchman's weapon was the halberd. This was because you could easily bat people with the non lethal end, intimidate them with the sharp end, and also use it as a handy walking stick while patrolling the streets of Auxene. But there are no official Constable rules or procedures. Yet.