Many thanks, James.
"A newer version of Quick Time is already installed. This installation cannot proceed while the newer version of Quick Time is installed."
That one has gotten complicated ever since Microsoft pulled the Windows Installer CleanUp utility from their Download Center on June 25.
Let's try Googling. (Best not to use Bing, I think.) Look for a working download site for *at least version 3.0* of the Windows Installer CleanUp utility. After downloading the utility installer file (msicuu2.exe), scan the file for malware, just in case. (I use the free version of Malwarebytes AntiMalware to do single-file scans for that.)
If the file is clean, to install the utility, doubleclick the msicuu2.exe file you've downloaded.
Now run the utility ("Start > All Programs > Windows Install CleanUp"). In the list of programs that appears in CleanUp, select any
QuickTime entries and click "Remove".
Quit out of CleanUp, restart the PC and try another iTunes install. Does it go through properly this time?
(If you do find a clean download site for the correct version of CleanUp, please don't tell me where it is. Without wishing to sound paranoid (although I grant it does sound paranoid), there is a non-zero chance that posting links to download locations for the utility here at Discussions leads to that download location being shut down.)