The files that sit connecting for ages & then get stuck needing more sources are fakes
Fake files showing up in search results

Your ISP is throttling p2p, that explains your slow download speeds.
http://www.gnutellaforums.com/showth...hlight=eclipse

You could try changing ports, to be honest I don't know that it will help but it's an easy thing to try. In LW tools > options > advanced > firewall config. Change LW's listening port to 64049, or something in the range of 49152 - 65535. Any ports forwarded through a router will also have to change!

Your Java's very old, updating that wouldn't hurt. Use the JRE offline installer & remove your old Java version before you install the new one
http://java.sun.com/javase/downloads/index.jsp