Do all the bodies in the solar system rotate like the planets and the Sun?
So far as we can tell, most of the bodies we have seen rotate as they orbit the Sun. Even satellites such as the Moon, which show the same face to the Earth, are actually rotation so that the revolve around the Earth at the same rate they spin about their axis. There may be some asteroids that do not have much spin, but spinning seems to be a natural outcome of objects colliding with one another, or being accreted out of the gas cloud that formed our solar system 5 billion years ago.