Ramesh,
Mr. Arjun P., a Microsoft engineer of great ability, fixed it from India. He said he may have to create a new admin account, but he must have wanted to fix it without doing that. He did make a new temporary admin account just to see if the problem was there, and it was not, so he knew my admin account was a bit corrupted. He did a lot with Procmon. He must have felt that he just had to get to the bottom of the issue by finding and fixing the exact cause, which he finally did.
Actually, the computer is nicer now, not because I can change the five or six main desktop icons, but because the left click is now standard double click instead of single click (which it was not set for, but was anyway). I didn't realize that improvement was going to happen, but it did.
So, it was a very good tour for me to see what all he did, even though I understand very little of what he did.
Thanks for your help, Ramesh.
Roy