My laptop's internet connection isn't working! HELP!?

Well, you've done most of the work. You eliminated the router as the problem because other laptops work with it. So the question becomes what on your laptop is preventing connection. It can only be 2 things, hardware or software. On most laptops there is an on/off switch somewhere in front (that is where mine is on my Toshiba), on the side of, or on the face of (above the keyboard) your laptop. Make sure it is turned on. To check the software (corruption of driver programs happens like any other program) go into Control Panel, under System, then Device Manager and see if you have any yellow or red flags under Network Adapters. Try updating them. If all else fails then go out and buy a USB Wireless Adapter and see if that works. If it does then it's your on-board network adapter that went bad. It happens. Basically you just keep eliminating the possibilities one by one.