1) Nook Color uses the metadata. You'll have to get something like Calibre (software) and add names to the metadata.
2) To delete books from the My Files folder. I'm assuming you mean from Nook itself. Press and hold down on the book icon for a few seconds. You'll get a menu.
Note: Archive books you've bought from B&N. Don't delete them. If you delete them they are removed from your account forever.
I went to the My Files and don't understand what "book icon" you are referring to. The only book icon I see is the one at the top of the page. When I hold that it takes me to the book it thinks I am reading...no menu. That is the only book icon I see. If I hold on one of the books listed, nothing happens. What am I missing?
I mean book covers.
When you hold on one of the books listed the menu should come up. Are you holding for 2-3 seconds.
Also are you in the actual folders? You have to go into the folders where the files are.