I can see the icons, the touch works, the screen is black?

Ron, if the icon etc. are visible, that means your backlight is not functioning. The backlight is part of the LCD, and the backlight circuit is on the logic board. I would go ahead and start with the cheaper of the solution, and that is by replacing the LCD. Of course, make sure that you restored the iPod and have done any of the updates and also reset the settings. From the Home screen->Settings->General->Reset All Settings. If none of that works, you are looking at having to either replace the logic board, or replace the coil on it. The replacement of the coil is very tedious, very small and needs some special skills. Check on here for a picture of the coil.

Hope this helps, good luck