Multiple iMac(s) - iMac (4)

Question

My iMac seems to have several versions residing on it.  For example, under my system preferences > Sharing, it says "iMac (4)" in the "Computer Name" field.  File Sharing is "on" and beneath that it says the following: "Other users can access shared folders on this computer, and administrators all volumes, at afp://imac-2/ or "iMac(4)". "
In the Finder window, under Devices, I have the iMac(4) at the top.
My question is two-fold: (1) how do I rid myself of these additional numbered computer names, and (2) have I inadvertently quadruple copies of the contents of my iMac on the hard drive?
Many thanks in advance,
Trjeff

Answer 1

Yes, my first hard drive died, so I replaced it and reloaded from time machine, and it did create a new iMac(1), along with new user profile with a "1" after it.  I ignored it because it wasn't a big deal, but I received a time capsule for christmas, and was setting it up trying to establish a new wireless network and somehow it created a iMac(2).  When I tried to delete the (2) in the computer name field of the System Preferences > Sharing, it then told me that the iMac(2) was in use, and then created an iMac(3), then I tried it again, and it created an iMac(4), so I left it at that point.  I have since gone back and and edited it again, following CaptFred's advice, and it has not (so far) repeated itself to create an iMac(5).
This experience has taught me that I am clearly lost when setting up the network, but my configuration does not seem that unusual, and is even contemplated in the Airport Setup Manual, but for some reason is causing me fits.  That's for a different thread, though.
Many thanks to you both for the quick response.