When you say a college network it sounds a bit ominous b/c many schools block p2p use nowadays. You should ask the college network's tech staff to find this out.
You will have XP firewall & possibly others so you'll need to configure it to allow both LW & Java access:
http://www.limewire.com/english/content/firewalls.shtml
Make sure your java is a reasonably up to date version:
Java 1.4.2 (click on link) LW only asks to install Java version 1.3 but it eally needs a later version.
If you're still having problems connecting you can also try to force ip:
Force IP instructions & sample image