Ok So I Think I Figured Out That I Have 60.0mb Of Ram. And Im Using Norton Antivirus V5.0... Im Not Really Sure What A Firewall Is Or How To Find Out What Kind Of Modem I Have... I Dont Think I Have A Router. Sorry If I Sound Like I Dont Know Anything About Comps... But Can Someone Please Help Me...

Are you just using Norton AV (not Norton Internet Security)? If that's the case, you probably don't have a Norton firewall. Have a look through your computer & see if there is a Norton Firewall.

If you do have a Norton firewall, configure it to allow LW. Check the link below for instructions.
PortForward.com - Free Help Setting up Your Router or Firewall

If that doesn't fix the problem, maybe you have an AOL firewall (I'm not sure if dial-up users would have this or not, it's a bit of a guess).
How to Use AOL® Firewall

If you've only started having problems since updating to a new version, delete LW's preferences folder when LW's properly closed. See point 3 here & also point 2 if you've used older versions of LW in the past (there could be a folder in either location).
Fixes for LimeWire
This will kill all of your settings within options, you'll have to go back through afterwards & reset things. If you're not sure of your settings, go through LW's tools > options & write them all down, so that you can reset things later.

You could also try changing your Java version to this one. Use the JRE offline installer & remove your current Java version (from Add/Remove programs) before you install this one
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11