The touch screen should fit work on any 7 inch display. Just check the exact dimensions. The controller needs to connect to power somewhere. The serial controller needs to plug into the display power but I believe the USB version gets power from the USB line. You would need to confirm this with DigitalWW.
The touch screen will work with either VGA or composite. It doesn't care what's underneath it. The software lets you calibrate the screen to the display.