Hi. As mentioned before I am running various accounts on 3 PCs. All with the same error message 0x80048820 on the same day and nothing I'd done.
Above method 1 shows nothing onerous. Tried playing with the Internet explorer settings as suggested to no avail. Thought I'd try updating internet explorer. Microsoft site says I can't as OS is too old and I need to buy a new PC.
Found a third party site with IE8. Downloaded using trusty FireFox and installed that. It went through a few settings especially about making IE8 default browser. (I had tried that one before but didn't seem to take - thought that odd.) Windows Live Mail Desktop NOW WORKS on said PC with absolutely NO CHANGES to Windows Live Mail Desktop. All hotmail/windows live mail accounts sync'd using HTTP and not gone to POP3. WooHoo!
Going to try same fix on others. I will keep you posted.