I definitely think you need much more ventilation. The ceiling can hold in moisture even if the door is open. I live in a humid area and my closet has done the same thing even with an open door, because there is a space above the door that holds moisture. Hens generate a tremendous amound of moisure with their breath and droppings, so your coop would get mold faster than my closet.
My coop has four open sides for the bottom 18 inches or so (hardware cloth). Then it has two openings on top (again, hardware cloth). This has worked down to about 10 degrees F. The fact that light winds travel through the coop keep it dry, yet the sides slow down the wind enough that the animals keep their warmth in winter.
My coop has four open sides for the bottom 18 inches or so (hardware cloth). Then it has two openings on top (again, hardware cloth). This has worked down to about 10 degrees F. The fact that light winds travel through the coop keep it dry, yet the sides slow down the wind enough that the animals keep their warmth in winter.