The Board of Selectmen shall appoint five (5) members to a Board of Adjustment members whose duties shall conform to the provisions of Ch. 672-677 N.H. RSA. Thereafter, as terms expire or vacancies occur, the appointing authority shall be responsible for filling vacancies and maintaining full membership on the Board of Adjustment. The Board of Adjustment shall also act as the Building Code Board of Appeals, in accordance with Article IX of Section E of the Wilton Land Use Laws, the Building Code Ordinance.