My feeling is that you are stuck.
The backing up procedure sounds like the sort of thing a friend had to do with his new Packard Bell about that time ago (and didn't)!
Nowadays many new computers keep all this information on a "hidden partition" but at that time it would seem that CDs were called for.
The floppy boots often into a special DOS which can then overwite the existing system with the information stored (in your case) on CDs.
As I said, unless you can find the special CDs you have nothing to restore.
What OS is installed at present? If it is XP there might be a faint chance.
Just to check a possible hidden partition, in My Computer, highlight C: drive, right click on properties and see that Used Space + Free space more or less equal Capacity.