In the above image it looks as though you still had the LW installer active. Try deleting your LW Preferences as described in the 1st link I gave. Try going back a version of Java if nothing is happening. Try Java 1.4.2 which is also in the link I gave in my 1st post.

I wonder if you have some protection softw on your computer which is stopping LW from launching properly.

Can you give us a total desciption of your set up:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. ram?
4. Hard Disk space available?
5. Connection type? (eg: dialup, broadband, cable, etc.)
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
8. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
9. Who is your isp provider?
10. Is this a your 1st try at LW or is this a new problem with an experienced user.