Problems displaying GUI and fillRect()

Question

Hello all, thanks for reading this post ... this is a four part question:
1)I have a JFrame set up with JButtons along the bottom. There is open space at the top where I would like to display some 2D drawing like fillRect(). In my paint method, when I use fillRect(), my buttons would disappear until I ran the mouse over them. To fix this problem I used a super.paint(g) before my fillRect() and in my paint method. Is there a better way to disiplay 2D images with a GUI?
2)I am dispalying 2D images directly to the JFrame. Should I use another type of java container like a JPanel to do the 2D output? If so, how would I alter and use the paint method of JPanel (for example) so that I could call it from JFrame.
3)I need to display repeated rectangles with the fillRect() function. Right now I am including the fillRect() call in the paint method and using another method to loop repaint. I am getting many errors and have a feeling that there is an easier way to achieve repeated display of rectangles. Can anyone offer a better way?
4)The title bar of my JFrame steals some pixels away from the area that I am trying to draw to. Consequetly, if I try to paint to the coordinates (0,0) i cannot see the coloring becuase it is behind the title bar. I read in a book about something called insets that have variables such as .top .bot .left .right that have the size of the margins taken up (e.g. the title bar). I tried to get such information from my JFrame but didn't have much luck. Any and all help is greatly appreciated.
To recap, I have a JFrame as my main program, with JButtons at the bottom and open space at the top for displaying 2D images.

Answer 1

Follow this sample:
import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
public class Draw2 extends JFrame 
     Tpan     board = new Tpan();
     JButton jb1    = new JButton("sample1");
     JButton jb2    = new JButton("sample1");
public Draw2()
     super();
     setBounds(1,1,500,400);     
     addWindowListener(new WindowAdapter()
    {     public void windowClosing(WindowEvent ev)
               dispose();     
               System.exit(0);
     getContentPane().setLayout(new BorderLayout());
     getContentPane().add("Center",board);
     JPanel con = new JPanel();
     getContentPane().add("South",con);
     con.add(jb1);
     con.add(jb2);
     setVisible(true);
public class Tpan extends JPanel
public Tpan()
     setBackground(Color.pink);
public void paintComponent(Graphics g)
     super.paintComponent(g);
     g.setColor(Color.black);
     for (int i=0; i < 35;i++)
          g.setColor(new Color(i*7,100,250-i*6));
          g.drawRect(i*9,i*6,50,50);
public static void main (String[] args)
     new Draw2();  
}       Noah