Thank you for providing so much information about the iTunes issue you are experiencing. I recommend following the steps in this article if you are not seeing the playhead progress:
You also asked about uninstalling iTunes. I don't think you will need to uninstall iTunes again, but the steps to uninstall iTunes are in this article:
Thank you for using Apple Support Communities.
Thank you for using the Apple Support Community. Due to the nature of your issue or question you may find more information by using another one of Apple's support resources - https://expresslane.apple.com/GetproductgroupList.action
All the best,