Wow, you're really trying to confuse things aren't you?
1. The Nokia N82
Assuming that the Nokia is set to automatically get an IP address from the router it should have one in the same range. If the router is 192.168.1.1 then your Nokia should be 192.168.1.<something>.
It should also have detected the default gateway settings, you'll need to look in your Nokia instruction manual to find out how to check this because I haven't got a clue. That default gateway should be the same as the IP address of your router. NOTE: This refers to the internal IP address of the router (whatever address you type in to manage it) NOT the one assigned by your ISP.
2. Assuming that you're using XP (because you haven't said otherwise)
Right-click on the network icon in the system tray and select 'Show Network Connections'.
In the Network Connections box, right-click on the icon for your wireless and select 'Properties'.
Tick the two boxes at the bottom (the ones about showing the icon, and showing when you have limited connectivity).
Click 'Ok'.
Close the Network Connections box.
Now you should be able to see what the status of your wireless connection is.
---------- Post added at 12:59 ---------- Previous post was at 12:58 ----------
BTW. Ignore the fact that the router doesn't show who's connected and who isn't for a minute.
Let's concentrate on getting just your computer connected to the Internet, then we can worry about other things ok