Via another hour-long telephone session with Apple support earlier today, I carried out the following instructions ...

In ~/Library/Preferences: Trash helpviewer.plist and helpviewer.plist.lockfile

In ~/Library/Caches: Trash all folders

In Macintosh HD/Library/Caches: Trash all folders

Restart iMac, and then Empty Trash.

Doing so (seems to have) corrected:
– The spring-loaded folder/file issue
– The Help Center / Help Viewer issues
– Who knows what else?

So, clearly there was much corruption in my iMac/OS X which has been dealt with.

If this overlaps with suggestions by others in these forums, then once again I thank assembled gurus.