However, the DNS servers SHOULD be set explicitly and should have teh same IP address as you found in the IPCONFIG /ALL settings when your computer was hooked up to the modem directly.
Ok, the computer's IP of 192.168.2.2 is correct as that's assigned by the router. However, you should specify the gateway and DNS-servers yourself. Hit the ADVANCED button in the TCP/IP properties and manually type in the router's IP = 192.168.2.1 for the "default gateway". Then manually enter the DNS-server IP-addresses as well.