Edward, DON'T FORMAT THE CD! There be DRAGONS! Stick with the standard "Mastering" system.
Easy CD Creator employs the Mastering system, but it also gives you a choice to use a system called Direct CD instead. Direct CD formats your disc and then allows you to drag and write individual files onto it, as long as you have the right software running on your machine. The formatting itself wastes 133 MB on a 700 MB disc, and there are many complications caused by it which increase the likelihood of sudden loss of files when the disc fails.
Now, back to your drive(s). Your system says you have two optical drives, an Atapi CD-R/RW 10x8x32 recorder, and a Mitsumi FX800S player (read only). It's reporting different addresses on the bus, and appropriate different speeds, abilities, vendor, and firmware versions. Computer systems don't get to make that stuff up, so there has to be another drive in there somewhere. How I wish I was there looking over your shoulder so I could poke a stick at it!
I can't do much more for you from 2200km away - I think you need to approach your local Users' Group. Someone needs to examine that machine in person, and there's bound to be several members who could transfer the files to a CD or a USB stick for you. Please do it soon, because this puzzle is really nagging at me.