Using a class within a class to draw

Here, I have class "Panel," if clicked, leads to a link. I was wondering how it could be manipulated into FramePage.java with this statement:

Panel p1 = new Panel(desired text displayed w/ green border);
Panel p2 = new Panel(desired text displayed w/ green border);
...

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A brief skim should do this,
Here is Panel.java:

import java.applet.*;
import java.awt.*;
import java.awt.event.*;
import java.net.*;

public class Panel extends Applet implements Runnable, MouseListener, MouseMotionListener
{
private Rectangle rect = null;

private Rectangle highlight;

private Color foreground;
private Color background;

private Color selection_color;

private Font font;

private int current_pos_x;
private int current_pos_y;

private int fontsize;

private int current_width;
private int current_height;

private int final_pos_x;
private int final_pos_y;

private int final_width;
private int final_height;

private int unit_measure_x;
private int unit_measure_y;

private int start_pos_x;
private int start_pos_y;

private int stringX;
private int stringY;

private int stringHeight;
private int stringTop;

private int pause;

private boolean hover;
private boolean hover_2;
private boolean clicked;
private boolean animated;

private boolean expanding_width;
private boolean expanding_height;

private boolean running;
private boolean stopped;

private Thread looper;

private String string;

private Image image;

URL url;

// Where should I create "public Panel(String string)" ?

public void init()
{
addMouseListener(this);
addMouseMotionListener(this);

foreground = new Color(205, 205, 205);
background = Color.black;

selection_color = Color.green;

current_width = 0;
current_height = 0;

pause = 5;

stopped = true;

hover = false;
hover_2 = false;
clicked = false;
animated = false;

expanding_width = false;
expanding_height = false;

fontsize = 0;

}

public void start()
{
if(!running)
{
running = true;
looper = new Thread(this);
looper.start();
}
}

public void stop()
{
running = false;
}

public void run()
{
try
{
while(running)
{
if(expanding_width)
current_width = current_width + 2;
if(expanding_height)
current_height = current_height + 2;

repaint();

looper.sleep(pause);
}
}

catch(InterruptedException e)
{
running = false;
}
}

public void update(Graphics g)
{
if(running)
{
if(rect == null)
{
rect = getBounds();

final_width = (rect.width - (rect.width / 10));
final_height = (rect.height - (rect.height / 2));

start_pos_x = rect.width / 2;
start_pos_y = rect.height / 2;

image = createImage(rect.width, rect.height);
}

paint(image.getGraphics());
g.drawImage(image, 0, 0, null);

if(hover)
{
if(current_width < final_width)
{
expanding_width = true;

current_pos_x = current_pos_x - 1;
}
if(current_height < final_height){
expanding_height = true;

current_pos_y = current_pos_y - 1;}
if(current_width >= final_width)
expanding_width = false;
if(current_height >= final_height)
expanding_height = false;
}

else
{
current_pos_x = start_pos_x;
current_pos_y = start_pos_y;

current_width = 0;
current_height = 0;
}
}
}

// When requested to paint, in class FramePage.java, would I use p1.paint??
// not likely, then what would it be to create each button?

public void paint(Graphics g)
{

if (rect == null)
return;

g.setColor(background);
g.fillRect(0, 0, rect.width, rect.height);



if(hover)
{
g.setColor(selection_color);
g.fillRect(current_pos_x, current_pos_y, current_width, current_height);

g.setColor(background);
g.fillRect(current_pos_x + 3, current_pos_y + 3, current_width - 6, current_height - 6);
}


fontsize = (int) (rect.width / 10);
font = new Font ("TimesRoman", Font.PLAIN, fontsize);

FontMetrics fm = g.getFontMetrics(font);

stringX = (rect.width - fm.stringWidth(string)) / 2;

stringY = rect.height;
stringY -= fm.getAscent() + fm.getDescent();
stringY /= 2;
stringY += fm.getAscent();
g.setColor(foreground);
g.setFont(font);
g.drawString(string, stringX, stringY);
}

public void mousePressed(MouseEvent event) {}
public void mouseDragged(MouseEvent event) {}
public void mouseReleased(MouseEvent event) {}
public void mouseMoved(MouseEvent event) {}
public void mouseClicked(MouseEvent event)
{
if(hover)
{

// URL should change for different cases, but that is not the problem now.

try { url = new URL("http://www.google.com");}
catch (MalformedURLException e) { System.out.println("Bad URL");}

getAppletContext().showDocument(url);

hover = false;
}

}
public void mouseEntered(MouseEvent event) { hover = true;
repaint();}

public void mouseExited(MouseEvent event)
{hover = false;

current_pos_x = start_pos_x;
current_pos_y = start_pos_y;
repaint();
}
}

Best regards,
Ben