Answer:
1) The stars are not constant in their position.
2) No. The stars aren't in original position because of apparent movement of stars in the sky.
3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.
4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.