Creating a setter method is a good idea. Yet somehow you'll have to keep track of the number of scores added into your list. By always assigning your set value to array index 0 you'll end up replacing first value over and over.
I suggest you use some List scores instead - you could then delegate the add to the list:
protected List<Score> scores = new ArrayList<Score>();
public void addScore(Score score) {
scores.add(score)
}
If you need to stick with an array, you have to keep one additional value of your last insert location like
protected int lastItem = 0;
protected Score[] scores = new Score[100]; //any initial size
public void addScore(Score score) {
scores[lastItem++] = score;
//check if you need to make the array larger
//maybe copying elements with System.arraycopy()
}