It shall be the duty of the county surveyor:

(1) To observe punctually and carry into effect all such orders as he may receive from any officer who may lawfully command him;

(2) To partition lands, to make resurveys, to give plats of all surveys, and to administer all oaths required by law in such cases;

(3) To survey county lines and district lines and to make other surveys in which his county may be interested whenever required to do so by the county governing authority;

(4) To execute all surveys required by the rule or order of any court of competent jurisdiction; and

(5) To keep a well-bound book in which shall be entered plats of all surveys made by him with a minute of the names of the chainbearers, when executed, by whose order, and to whom the plat was delivered, if any. Such book shall belong to his office and shall be turned over to his successor; when full, it shall be deposited in the office of the county governing authority.