Oh, nevermind -- misread the first post.
Can you download LimeWireDebug.exe from
here and place it in your C:\Program Files\LimeWire directory. Then start LimeWire by double-clicking on that. What does it say on the DOS-box when LimeWire closes?
(If the box closes too quickly, start it by going to Start -> Run, and type "cmd", then type: "cd C:\Program Files\LimeWire", and finally type "LimeWireDebug.exe".)