(a) The supervisor or supervisors shall perform the same functions and duties for the gores that the truant officer, constable, treasurer, collector of taxes, and town clerk perform for their municipality.
(b) Except as otherwise specifically provided, the supervisor or supervisors shall enjoy the same powers, privileges, immunities, and fees, and shall be subject to the same obligations, limitations, liabilities, and penalties in respect to the gores, as the truant officer, constable, treasurer, collector of taxes, and town clerk enjoy and are subject to in respect to their municipality.