The correct options are
A Newton's First Law of Motion
B Centripetal Force
D Newton's Third Law of Motion
Newton's First Law of Motion states that an object remains in rest or in a state of uniform motion unless an external force acts on it. Moon is attracted to the earth due to gravitation and hence, cannot have uniform motion.
The gravitational force acting is roughly perpendicular to the direction of motion and hence, acts as a centripetal force. It changes the direction of motion of moon.
According to Newton's Third Law of Motion, every action has an equal and opposite reaction. This is also valid for gravitational force between the earth and the moon.