The application won't run or start (in Windows).

1) You have to have matching versions of java and CCW - 32 bit or 64 bit - they have to be the same.  You probably have mismatching versions.
2) You have to install it as an admin user

How do I uninstall the application?

There is no automated uninstaller.  Just delete the Chord Chart Wizard folder in Program Files and from the Start Menu.

The office integration isn't working (powerpoint or .doc files) on Mac.

You must use NeoOffice on Mac OS, not OpenOffice.  Installing a "patch" update for NeoOffice may cause it to stop working with Chord Chart Wizard.  If you have installed a "patch" update, then you need to download and re-install the regular un-patched version of NeoOffice.