How come there are so many references to Google in the error messages?
Did you try and install the Google toolbar at the same time or something.
It looks like that may be what is interfering in the whole installation setup.
That's just a guess.. but when I installed Limewire 4.16 recently I don't recall seeing any references to google in my installation efforts.
It looks like the Google toolbar is somehow causing an interuption in the install of your Limewire.