0x80004005 (which is the error code in your initial log leading to the failure) is "Access Denied" - it generally means that the user that is attempting to run the installer does not have permission to read the registry for the settings. Quite why that is happening is unclear, and could be a bunch of things - including a failed (further on) install leaving a corrupted registry, running the installer as a non-Administrator, or any number of other things.
Unfortunately, that's not enough to repair the situation. Maybe now you have installed the 6.1.3 version, you can re-try and see if it works.
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