The first task is called 'homerun', which means that you to must make 10 hits in order to complete a 'homerun'. The second round is called 'No strikes or outs!' indicating that you are not allowed to miss, ever. Once you miss you are out. Also if you get 'caught' you are out too. If you send the ball outside the courtyard, that's called a foul ball and it doesn't count.

At first I used to miss a lot. With time you learn how to strike the ball properly. The best advice I could give is to watch closely at the red square and try to figure out the position where the next ball is going to be delivered at the moment when it reaches the zone of the square. You should click at that position at exact time for a good hit.

You can also earn the homerune if you hit things on scene, such as wooden board or a gutter. Homerun brings 4000 points, but at first that's your least concern, though not sure about higher levels, as I never reached that far.