The longer I contemplate what exactly could be going on here, the less sense it all makes. I stopped when I pictured them at the "insert a bootable media or restart" screen trying to figure out what button starts the wifi install.
In seriousness, though, I think I get what's going on. Your DVD drive isn't showing up in computer, so you can't run the CD from it. No problem, just link the name of the wifi adapter, and we can get the driver from the internet if you want, and you can transfer it via flash drive, or plug his pc in to the router via ethernet and do it all there.
Edit: Also, you want to take a peek inside the case, make sure all the cords leading to and from the dvd drive actually plug into something. It sounds like there's a problem with it, either not plugged in or the driver is bad and you'll need to find it in device manager, uninstall, then scan for hardware changes.