The rights acquired by the proprietor of a private lake licensed hereunder, and the prohibitions hereof, shall extend to and include all channels connecting a series or group of lakes under one license, and the warden [director of the department of game and fish] may authorize the use of such screens or other appliances as may be necessary to prevent the fish in a licensed lake of class A from escaping, and it shall be the duty of the proprietor to adopt and use such screens or other appliances as the warden [director of the department of game and fish] may direct to prevent the fish in public waters from entering such lake.