(1) Regulate or prohibit the possession of shellfish;

(2) Fix the amount of shellfish that may be taken;

(3) Provide for protection from shellfish predators;

(4) Authorize the municipal officials to open and close flats under specified conditions; and

(5) Specify areas of the intertidal zone in which the dragging of mussels may be limited to the degree necessary to support a municipal shellfish conservation program . ;

(6) Establish a minimum size limit for possession of shellfish regulated in the ordinance, as long as those size limits are as strict or stricter than any minimum size limit set in this chapter or by rule, except that an ordinance must establish minimum size limits for possession of soft-shell clams that are at least as strict as those limits established in section 6681; and

(7) Establish a maximum size limit for possession of shellfish regulated in the ordinance, as long as those size limits are as strict or stricter than any maximum size limit set in this chapter or by rule.