The Amiga doesn't show icons for devices until there is some form of media. In other words, the CDROM icons won't show up until a disc is inserted. The same is true for floppies, so one of the floppy icons that you think represents the floppy is not it. Most default systems will have an icon for the System drive (hard disc) and RAM drive. The one floppy image will be the RAM drive, but I'm not sure what the other floppy image could be. It could be anything because the AmigaOS allows one to easily change the icon image to anything. You should be able to decipher a bit more information from what the icons are named. Just double click on it and see what happens.
Not sure what you mean by "some missing & expensive peice of hardware inside the beige box?". If it works then it should be good to go.
There are a number of ways to transfer files from Amiga to PC and vice versa. If the files are small (<713kb) you can just format some floppies using PC DOS 720kb and copy files using Windows Explorer (on your PC) and Directory Opus (if you don't have it it's freeware now - just search in Google, download and run). Of course this assumes that you have CrossDOS installed and running on your Amiga (it should be if it's a 1200).
You can also network your Amiga to your PC by any number of ways. That thing on ebay that you linked to looks like a serial cable (null modem) and transfer software. If you want to do it this way then I suggest Amiga Forever. It doesn't come with a null modem cable but they are very easy to find, and cheap. There are also NICs available for the 1200. This way gets you the fastest transfer speeds, but it is also the most expensive.
Hope this helps,
Pete
