The first thing I'd suggest is to get a good antispyware checker and give it a go at your system. Some recent spyware has been reported by other users to shut down iTunes or prevents it from launching. From user reports, Ewido seems to be the best at catching it. You can download a free version of Ewido
here.
If that doesn't cure the problem, try deleting the iTunes preference files:
C:\Documents and Settings\<username>\Application Data\Apple Computer\iTunes\iTunes.pref
and
C:\Documents and Settings\<username>\Local Data\Application Data\Apple Computer\iTunes\iTunes.pref
You might have to turn on "show hidden files" to find them. (Right click "my computer", select open, select Tools menu -> Folder Options. Select View tab, "show hidden files" radio button is in the center scrolling panel.) Delete them. This will force iTunes to run the setup assistant the next time you run it and you'll have to go back and set any preferences you've changed from the default.
Hope this helps.