Am I understating you correctly in that this issue ONLY applies to the one computer? If that is the case you may have something (hardware) that does not go well with the new distro or you may have an issue with your Optical Drive in that one machine.
As a first measure I would try swapping the optical drive out from one of the working machines to see if that helps. If not then you may be facing some issues with other related hardware. If the swap does work, a replacement optical drive is usually found under $40US at newegg.com or local retail shop.
If you could list out what hardware you have in the non-working machine I can take a closer look into compatibility issues.