That file shows part of the problem, you have many corrupted backup files and catalogs that have been corrupted or not verifiable. Why this is occurring needs to be addressed and then the entire database needs to be rebuilt.
You are running an anti-virus that might be involved. When I was running one, I would see things like extended update install times, especially during reboots, and many failed install attempts. There might be a setting to stop it from interfering, if it is, but you need to see if you can find that. If you want to keep what you have, then keep an eye on the updates to see if they become corrupted again if a repair can be accomplished.
If you have run any registry cleaners, you might stop that for testing, or...