Kristopher Perry, my usual disclaimer is that I am not a Mac person, but have some pretty good idea about the hard ware. Anyhow, here is what I have in regards to the LCD's. You may want to start with those:"
The iMac G5 has built-in diagnostic LEDs (shown below) on the main logic board that can help you to troubleshoot the computer.
To access these LEDs, remove the back cover of the computer:
1. Turn your computer off (choose Shut Down from the Apple menu). If you can't shut it down that way, you can turn the computer off by pressing the power button for five seconds.
2. After the computer is off, disconnect all cables and the power cord from your computer.
3. Place a soft, clean towel or cloth on the desk or surface. Hold the sides of the computer and slowly lay it down so the screen is flat against the surface and the bottom is toward you.
4. Raise the foot and use a Phillips #1 screwdriver to loosen the three screws at the bottom of the computer by turning them completely counterclockwise. These are “captive screws,” which means they're not supposed to come all the way out.
5. As you hold the metal foot, tilt the back cover up and lift it away from the computer. The back cover with the foot attached should come off easily. If it doesn't, make sure the screws are turned completely counter-clockwise, but not too far.
6. To protect the computer from electrostatic discharge, ground yourself by touching metal surface inside the computer.
Always discharge static electricity before you touch any parts or install any components inside the computer. Don't walk around the room in socks or bare feet, for example, until after you've finished these steps.
7. Locate the large white arrow in the middle of the board.
8. Above this arrow, you'll see four LEDs:
• LED 1
indicates that the trickle voltage from the power supply has been detected by the main logic board. This LED will remain ON whenever the iMac G5 is connected to a working AC power source. The LED will remain on even when the computer has been shut down or put to sleep. The LED will turn off only if the AC power source is disconnected or the power supply is faulty.
• LED 2
indicates that the main logic board has detected proper power from the power supply when the computer is turned on. This LED will be ON when the computer is turned on and the power supply is working correctly.
• LED 3
indicates that the computer and the LCD display are communicating. This LED will be ON when the computer is turned on and video signal is being generated.
• LED 4
lights only if the computer detects an over-temperature condition. This LED will be OFF when the computer is turned on and running at the correct temperature." Hope this helps, good luck.