Does the sun rotate, and earth revolve in the same direction?

Answer 1

Yes, Sun rotates & earth revolve around it in the same direction.
At the equator the solar rotation period is 25.38 days. This is called the sidereal rotation period, and should not be confused with the synodic rotation period of 27.2753 days, which is the time for a fixed feature on the sun to rotate to the same apparent position as viewed from earth. The synodic period is longer because the sun must rotate for a sidereal period plus an extra amount due to the orbital motion of the earth around the sun.

Answer 2

yes.

Answer 3

yes they do :O)