Quiero crear un objeto cliqueable invisible sobre una imagen en Java

Así que estoy creando un juego en Java en el que el usuario hace clic en una imagen que es diferente del resto. Ya tengo las imágenes para el nivel creado, pero solo quiero hacerlo para que si el usuario hace clic en un punto específico de la imagen, el juego reaccionará al pasar a la siguiente imagen. (Todas las imágenes ya están colocadas en una matriz). El juego está configurado para que se abra con la primera imagen ya. Aquí está mi código:

    package Final;

    import java.awt.event.ActionListener;
    import java.awt.event.MouseEvent;
    import java.awt.event.MouseListener;
    import java.awt.*; 

    import javax.swing.JFrame;


    public class drawPictures extends JFrame implements MouseListener { //it implements this     because I want the user to click stuff
    //Now I need to declare the images that serve as my levels variables ahead of time.
    protected static Image levelOne;
    protected static Image levelTwo;
    protected static Image levelThree;
    protected static Image levelFour;
    protected static Image levelFive;
    protected Graphics g = this.getGraphics();  

    //Done declaring.

    //Now to load the images
    private static Image loadImage(String imgFileName) { 
        Image img = null;
        try {
            Toolkit tk = Toolkit.getDefaultToolkit();
            img = tk.getImage(imgFileName);
        } catch (Exception e) {
            System.err.println("Image not found: "+ imgFileName);
        }

        return img;
    } //done loading the images



    static Image [] pictureArray = new Image[5]; { //This is the array that will store all of     the images
     //otherwise known as the "levels"
    pictureArray[0] = levelOne; //each "slot" in the array is taken up by one 
    //of the images that serves as the level
    pictureArray[1] = levelTwo;
    pictureArray[2] = levelThree;
    pictureArray[3] = levelFour;
    pictureArray[4] = levelFive;
    }

    /*
     * Now that the actual array that stores the levels has been created
     * I need to create a method that "paints" the level, 
     * and moves on to the next one when the user clicks on something.
     * 
     * I also need to create a box with dimensions 151x159 
     * overtop of the happy tomato in the first level.
     * That will be the 
     */

    public drawPictures() {
     super("One of These Things Doesn't Belong...");


     setSize(1500, 750);
     setDefaultCloseOperation(EXIT_ON_CLOSE); // Creates the "x" box.
     setVisible(true); // Makes the window visible.    

     start();
 }

 public void paint(Graphics g) {
     g.drawImage(pictureArray[0], 100, 100, this);
 }

 public static void start() 
 /*
  * this entire method exists for the sole purpose of loading the images
  * that I placed in the variables that I declared above.
  * WHY IS PROGRAMMING SO DARN TEDIOUS???
  */
    {
    levelOne = loadImage("Level 1.jpg");
    levelTwo = loadImage("Level 2.jpg");
    levelThree = loadImage("Level 3.jpg");
    levelFour = loadImage("Level 4.jpg");
    levelFive = loadImage("Level 5.jpg");
    }

    @Override
    public void mouseClicked(MouseEvent arg0) {
        // TODO Auto-generated method stub

    }

    @Override
    public void mouseEntered(MouseEvent arg0) {
        // TODO Auto-generated method stub

    }

    @Override
    public void mouseExited(MouseEvent arg0) {
        // TODO Auto-generated method stub

    }

    @Override
    public void mousePressed(MouseEvent arg0) {
        // TODO Auto-generated method stub

    }

    @Override
    public void mouseReleased(MouseEvent arg0) {
        // TODO Auto-generated method stub

    }

    /**
     * @param args
     */
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        start();
        new drawPictures(); 
    }
}

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