Sounds like your computer is infected, uninstalling LW isn't going to fix things.

There's a worm that causes LW to constantly pop up & not stay closed...was your LW doing that when it was installed? There's a fix here to try, it's worked for a lot of people. Click on the link below.
The easy fix for Limewire popping up every few seconds (try this first)
And more info here, with links to AV programs & online scans.
WARNING: Viruses on network you should be aware of!

And also info in this thread.
2 probs (LW keeps restarting)

If you still need help, try one of the sites below...they're more specialised in helping with malware issues

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Always make sure that you're using a good AV program. Keep it updated & use it to scan all files that you download before you open them.