Hey there JasonJCook,
It sounds like you were at first unable to launch iTunes after a recent update, and now you have uninstalled the iTunes application and cannot re install it due to another error message. I would perform the troubleshooting in the following article named:
Issues installing iTunes or QuickTime for Windows
http://support.apple.com/kb/HT1926
It will assist you with completely removing not just iTunes but all its associated programs, to be reinstalled fresh from the download page:
http://www.apple.com/itunes/download/
Thank you for using Apple Support Communities.
All the best,
Sterling