Siennfein,
I don't know what your technical skills are, so I hope I don't insult your intellegence.
What happens when you ping yourself, like 7 said to (ping 127.0.0.1)? If you get a reply, and you're reasonably sure that the network card drivers are setup properly, it may be a physical problem with cabling.
Your network card should have a staus light on it, probably green, and possibly a traffic light, probably yellow. The status light should be solid, while the traffic light should be blinking rapidly and irregularly. Sometimes, they combine the lights, and you just have one light blinking rapidly and irregularly. If you have a steady, slow blinking light, that doesn't count, and it's probably try to autodetect if you're on a 10 or 100mb network, and since it can't talk to the router/hub/switch/whatever, it just keeps trying to autodetect.
I'm assuming this router has a hub or switch built in to it with multiple network ports. You should also have lights near the network ports on the hub/router blinking as well near where you have your PC's network cable plugged in. For instance, if you have your PC plugged into port 3 on the router, you should see a light on that port blinking or something. If you don't see any solid lights or blinkning lights on the network card or on the router where you have your PC plugged in, then you probably have a cabling problem, although you would get the same thing if your network card drivers were dorked up. Try the cable that your dad's using. If that doesn't work, it could be network drivers still. Also, try a different port on the router/hub.
You can even call me for help if you want. I'm always glad to help a brother-in-arms. Just let me know. BTW, I'm in Dallas.