Your problem is that you didn't invoke super.paint() so the child component are not painted, since you broke the painting mechanism of Swing.
Even if you do fix that it still won't work because you will paint the components but then you will paint the image over top of the components.
Don't override paint() on a JApplet. If you need to do custom painting then override paintComponent() on a JPanel and then add the panel to the applet. The components would then be added to the panel.
Don't get me started about those stupid light bulbs.