Yes, you apply a special headed screw on the fixture plate that engages that side groove, and these are for making tapped or reamed holes.The wobbly cut out in the side of them is a kind of cam-lock mechanism used to retain them in their holder.
Not unless you're running clutches on some exceedingly small motors.
Yes, you're right, should have put a mug in the background.In my defence there's nothing to indicate scale. Unless there's a mug behind one of the items.