I'm not sure what else to tell you. Maybe someone else has a clue?

Even though you've uninstalled the Alcohol software, use your computer's search to look for all files & folders with alcohol in the name & delete from there...just in case there are any remnants left.

When you try to open LW, do you have any other programs (eg games) running at the time? Some people have found that LW won't open when some games are running.

Try installing the latest Beta version of LW & see if the same thing happens. You can download the Beta from your Pro download link, there's an option to click on the left hand side of the page.

Or, you could try downloading an older version of LW & see whether the same thing happens. There are only basic versions for download at this site, but it's just a test to find out whether it's a version-related problem.
Old Version of Limewire Download