With every release of ZA we test iTunes latest version and make sure that you can sync and update with an iPod, iPad and a iPhone.
Version 10.1.065.00 works 100% fine with iTunes.
You have an isolated issue with your PC, iTunes install, ZA or something else conflicting.
Best to do an uninstall of ZA to rule out its a ZA issue. After uninstalling make sure you can sync with iTunes.
Then download and install the latest version of the Zone Alarm firewall here:
Download the latest ZA version <== click here