what must paris do to satisfy lord capulet?

Initially Parris just had to woo Juliet at Capulet’s party. Later on in the play it really didn't mater if Parris won Juliet or not. Capulet just gave Juliet to him.

there is nothing he can do being a relative to the prince that was enough ,what was left for him to accomplish was just to win Julliet's heart.