KOOLSOLYTrooper Trapper Hat,Winter Ski Hat with Winter Ear Flap and Ski Windproof Mask

The gray camo color looks like it has an air vent, while the others do not. Am I correct?

Does hat fully cover back of neck down to jacket collar

I want to order the pink hat shown in choices. but the selection for the pink hat says red. is it really pink or will i receive a red hat?

Does this fit under a helmet?