The Dragon Boat Festival is a traditional Chinese holiday that occurs on the fifth day of the fifth month of the Chinese calendar. (Zongzi is typically associated with this holiday.)
The Mid-Autumn Festival, also known as the Moon Festival or Mooncake Festival, is a harvest festival celebrated in Chinese culture. It is held on the 15th day of the 8th month of the Chinese lunisolar calendar with a full moon at night. Obviously Mooncakes are associated with this holiday.