Does the Sun rotate at all?

The Sun, like most other astronomical objects (planets, asteroids, galaxies, etc.), rotates on its axis. Unlike Earth and other solid objects, the entire Sun doesn't rotate at the same rate. Because the Sun is not solid, but is instead a giant ball of gas and plasma, different parts of the Sun spin at different rates.

The interior of the Sun does not spin the same way as does its surface. Scientists believe that the inner regions of the Sun, including the Sun's core and radiative zone, do rotate more like a solid body. The outer parts of the Sun, from the convective zone outward, rotate at different rates that vary with latitude. The boundary between the inner parts of the Sun that spin together as a whole and the outer parts that spin at different rates is called the "tachocline".

The behavior of the Sun's magnetic field is strongly influenced by the combination of convective currents, which bring the charged plasma from deep within the Sun to the Sun's surface, and the differential rotation of the outer layers of the Sun. The complex, swirling motions that result make a tangled mess of magnetic field lines at the Sun's surface. Differential rotation is apparently the main driver of the 11-year sunspot cycle and the associated 22-year solar cycle. The notion that differential rotation and convective motion drive these cycles was first put forth in 1961 by the American astronomer Horace Babcock, and is now known as the Babcock Model.

Hope this will help...

yes, on both counts.

you can watch sunspots make their way across the sun as it rotates. when there are sunspots, that is...

Yes, that's why sunspots are important. It showed us that the sun does rotate.

Yes, the sun's equator rotates once about every 25 days...that's why if you observe it, the sunspots are in a different position each day...

Yes, the sun rotates. But because it is basically a giant gas ball, different parts of the sun rotates at a different rate. The rotational period for the sun at the equator is about 24.47 days.

if it didn't rotate, it wouldn't be a sphere.

dsf