I use Parnet to connect my PC with the Amiga. Not sure if thats what you are doing. You have to set the software up on the PC and the Amiga and use the suitable cable... which is I think what you have. I also have ZIP disk drives on my Amiga and PC and so with 100MB per disk it covers most of my Amiga software.
Good to hear the 2000 is up and running. Great machine and pretty bullet proof as you have discovered.
scuzz