Moving Charges and Magnetic Moments

Nooooo! I don't think we are on the same page here is all. (: I don't think imagining our charge to be a wire is going to help because a wire and a point charge have different magnetic field shapes. What I meant by the donut shape of our point charge is that it is not completely in the shape of a donut, but it has some characteristics. In a real donut, there is a hole, which I totally understand why you got confused (that was my mistake by not being clear enough), but in the magnetic field of our point charge there is no hole. It has the same curving features of a donut but it doesn't have a whole. It has the same magnetic field shape as a solenoid. Our moving point charge is moving at a constant velocity and through a vacuum (classical vacuum). If it is not accelerating or near any force, how will the direction between north and south change?

A point charge moving at a constant velocity will have the same magnetic field shape as a bar magnet.

yes moving charges produce a magnetic field.

you can explicitly see this when you have a static charged particle in one frame moving relative to another frame. in relativity, neither electric fields nor magnetic fields are invariant in different frames, but the electromagnetic tensor is. You take the Lorentz transformation of the electromagnetic tensor that describes a static charged particle in the rest frame in order to transform it into the moving frame and write out the terms explicitly.

You will find that the B'[itex]_{i}[/itex] terms in the moving frame will have nonzero components related to the E field in the rest frame.