So what you are saying is that when you're surfing, Internet Explorer periodically goes into "Page cannot be displayed" mode, and sometimes the IM's you send on MSN Messenger cannot be delivered, but with Limewire you can always download, and people download from you?
I wouldn't be at all surprised if your PC was infected with some sort of malware, probably acquired via Limewire. And as Deerpark said, the bandwidth issue could be relevant, especially when multiple users are downloading files from you.
Try turning off Limewire completely, and surf for a while and see if the problem re-appears. If it doesn't, you know which application is guilty. If Limewire is the culprit, then within Limewire, decrease the amount of simultaneous uploads allowed, and decrease the amount of files that a certain user can download simultaneously from you.
If Limewire is not the problem, update your virus scanner with the latest definitions and run a full scan. Install Ad-Aware and Spybot, update them, and run full anti-spyware scans. Good luck.