Just because the card detection tool can identify the card doesn't mean it will work unfortunately. If you don't have much experience with Amiga or Unix networking I would try Miami as it's the easiest to get working. Once you've got it working with Miami I'd try and get Amitcp working (I use version 3.02b) as it uses less resources.
I have a guide for setting up amitcp that I downloaded from the web a few years ago, I just did a quick google search and couldn't find it. If you have trouble setting it up PM me and I'll send you the guide as a word doc.