No licensee shall sell, serve or deliver, or allow, permit or suffer the sale, service or delivery of, any alcoholic beverages, or allow the consumption of any alcoholic beverages, on licensed premises on Monday to Friday, inclusive, between the hours of 1:00 a.m. and 8:00 a.m., and on Saturday and Sunday between the hours of 3:00 a.m. and 8:00 a.m. The closing hour on New Year's Day shall be 5:00 a.m. if that day falls on a Sunday; otherwise, no closing hour is fixed.