Okay, I think I found the simple answer.
The items that would not allow a DELETE option, were indeed Magic Box items. You still need to go to Magic Box with these, and delete them from the Magic Box. It then took severl refresh attempts, logging out, and a couple more refreshes, before these items showed up PINK, with a DELETE option. Ryota, you are correct. There is no way, evidently, of deleting more than one item at a time. So once you do get a delete option, you have to go back and individually delete each item, which is a total PIA. I believe, under the old system, you could click on multiple items and delete...which doesn't seem to be an option anymore. However...I think the problem is now solved. Thank you for your responses!