Also, have you tried pinging your router once easynet says its online? Its been a while since I last used it, but I'm pretty sure the Easynet installer installs AmiTCP's ping and traceroute commands.
Bring up an Amiga shell window, and type ping 192.168.0.1
If you get replies, you are connected to your Network at least. If not you will get either 'destination host unreachable' If you have no connectivity at all, or 'request timed out' if you have partial connectivity but there is some configuration problem.