(a) Whether any exceptions are filed or not, the city or town council shall proceed to examine the settlements and shall disallow any and all unjust charges and credits, if there are any.
(b)
(1) The council shall readjust the settlement wherever an improper item may be included in it.
(2) The adjustment shall be finally subject to reexamination in a court of chancery for error or mistake upon suit brought by the board or by any taxpayer of the district.