Answer:
1) As it slides along the instrument panel toward the pilot, the work done by friction on the cup is positive.
Explanation: Frictional force acts in opposite direction to the direction of motion of the body. Friction can only be positive in that direction.
2) The direction of the frictional force acting on the cup is towards the front of the plane.
Explanation: as explained earlier, friction acts in opposite direction to the direction of motion.
The cup will move towards the rear of the plane due to inertial forces, friction will act towards the front of the plane to oppose this motion.