You have a lot of rubbish loading both at start up and BHOs Browser helper objects that are just not needed. None of the info seems to point to your limited access.
check router passwords are set correctly
check firewall is not blocking internet explore or whatever browser you are using.
download (using another PC) ADWCleaner to a mem stick and run it (it is a standalone program and will clear your machines of PUPs and suspect BHOs