Firstly: Respect! You have read the forum and tried much.
Have you tried to copy your LiberKey on an USB-drive and try it on an other computer? Then you will know whether the problem is in LiberKey or in your machine.
(If it will work on the other computer, reinstall windows, it solves every problem)
Or, an uneducated guess:
Maybe an antivirus ist blocking uTorrent (and it's installation). But this would not explain the update failure of the two other applications.
I have no further ideas yet. I myself could update uTorrent without any problems.
good luck