Honestly, I wouldn't bother renaming it. It doesn't really hurt anything and you probably won't really care either way.
It's named "#3" because you have some old devices or your old driver (if you reinstalled the driver, i'm assuming there was a reason..). If you searched through that key, you probably have some other devices with the name you are trying to set this one to.
you could delete the registry items and let windows redetect all your devices but, again, I wouldn't recommend this
You can drop to a command prompt, and run the following commands from the command prompt:
Code:
set dev_mgr_show_nonpresent_devices=1
devmgmt.msc
This will open up device manager. In device manager, go to the view menu and select the option to "show hidden devices"
In your network adapters section, there should be some "grey" items that were installed at one point but are no longer "present" or connected. You can delete them from here a little safer than registry hacking.