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#11
I don't' see any of the files that are supposed to be in C, just a bunch of junk staging files. Does the screenshot show everthing? If not do it again showing all of C contents, including the entire contents of windows.old.
You should have Windows, Users, Program Files. You said Windows is in windows.old but where is that? It also should be placed in C during install and nothing like a RAM failure is going to move them.
Do a search for each of these folders then rightclick to open File location.
In addition I'd immediately do an SFC /SCANNOW Command to see how deeply the corruption runs.