Let's try a few things first; right-click the LW program itself & choose run as admin & change compatibility. See if that helps. 
 
 
This worked for one person: 
http://www.gnutellaforums.com/genera...tml#post339684, but they were using Vista. But problem might be related to both the installation of LW & Java. Version of Java might also be playing a part if you do not have latest update. 
hmm ... but your problem is more than just LW crashing, something is turning your machine off. Have you done a virus scan? Could be a video card settings clash.