I had the same problem with my mediator setup with miamidx,...it just wouldn't talk to the router through the ethernet card.
I tried genesis instead (which i believe easynet uses) and it worked fine....go figure.
In both cases i had to manualy assign the IP, gateway and DNS as DHCP wouldn't play.
For example:
IP 192.168.0.12 (amiga static address)
mask 255.255.255.0
gateway 192.168.0.1 (router address)
DNS 192.168.0.1