Fishing is prohibited in all bathing areas, boat basins, boat channels, streams, ponds or lakes or from any bridge, pier, dock, bulkhead, or other structure along the edge of or extending into or over any waters under the jurisdiction of the office except during such times and in such areas as may be plainly designated therefor by signs. Fishing shall be permitted by angling and trolling only, or in the case of shellfish, by devices or instruments operated solely by hand power. No device operated by machinery, or by power, or with the aid of power other than hand power, shall be used in taking fish of any kind from waters under the jurisdiction of the office. Fish shall not be taken contrary to law or any order of the Department of Environmental Conservation.