This appears to be a problem with the design of iTunes. I can do the following on Windows 7 Professional 64 bit, Windows 8.1 64 bit (not Professional version), Windows 8.1 64 bit Professional version across laptops and desktops:
Uninstall iTunes 11.2
find CD/DVD drive in Device Manager
Device Manager has yellow warning with some information about registry problems
CD/DVD does not work: doesn't show up as a device in Windows Explorer, inserting CD/DVD doesn't lead to "tap here to decide what to do, etc, depending on OS).
So you can fix the problem by using System Restore to a point before uninstalling iTunes. That doesn't really help you, I am sure, since it's months since you reported the problem. This is an Apple issue. The problem and solution can also be replicated with iTunes 11.1.5. What kind of application software that doesn't even depend on the CD/DVD drive ruins the software under the drive or entries in a support file (the registry in this case) that enable the device. Note that this problem also occurred in 2008 in the support forum with some earlier versions of iTunes.
It appears not to be the case with iTunes 11.1.4 (32 bit version and 64 bit version) but I can't prove this yet.
Why was I exploring all of this? My kids have iPod Nanos. When they insert them into the USB port on their Windows 8.1 laptop and desktop iTunes kicks the device off the computer, i.e., the device shows up under Windows Explorer and then when iTunes 11.1.5 or 11.2 starts it can't recognize them and they drop off Explorer.
Apple's response to this last problem is to suggest the old rigmarole of reboot, uninstall and then reinstall iTunes (which then destroys the CD/DVD registry entries or something worse or both). But here's the odd thing: iTunes 11.1.4 definitely does not kick your iPod off your Windows computer and it seems, on uninstall not to ruin access to the CD/DVD drive. But 11.1.4 is no longer available from Apple. Why? Is this on purpose to cause problems for Windows users or is the problem bad design or just QA that misses some very obvious test cases?
Other solutions? Buy a new iPod Nano or iPod Touch and hope the problem goes away? My suggestion is to pay for Apple support and then make them fix the problem and explain what they did to fix it by posting the explanation in a public forum. Since I have an actual problem here -- my kids have music and iPods they can't upgrade iTunes -- I may do that.
I have two computers -- Windows 8.1 Professional desktop (32 bit) and a Windows 7 Professional laptop (64 bit) that have iTunes 11.1.4 and everything works fine. At some point fairly soon we would have to upgrade, but then the kids lose their iPod's ability to get more music. Is this something Apple really wants? Lost sales of music?