Hi Johnboy.
You didn't actually mention what happens when you double-click/single-click on the IE icon. Does the hour-glass icon appear for a moment, then simply nothing at all? Does it appear with an error messege and then close?
I have two suggestions for you:
1) Open your task manager (right-click anywhere that's empty on your start bar and click on 'task manager'. Go to 'processes' at the top, and find "Iexplore.exe" and shut it down. If there is nothing listed whatsoever, it sounds like IE has an issue actually starting.
As a precaution, make sure you've downloaded every update that Windows Updates has within for you.
2) Open your start menu and type in Internet Explorer. Try running the 64-bit version. Flash isn't supported...