Some of them might be spinning clockwise, in which case, according to the right-hand rule we would consider them spin-down.

So what that means is that we're limited in any atom to having two electrons per orbital, right, because for any orbital we can either have a spin up electron, a spin down electron, or both.

When it's spinning parallel to the ground, support your weight on your left foot and use your right foot to power your spin; the momentum of the hoop should carry you around.