Downloader Pro from Breeze Systems (
http://www.breezesys.com/) sounds like just what you need. It wll do everything you mention except, possibly, make the second copy at the same time. It has extensive options for naming the folders into which you download, as well as the filenames. I have it insert a "job code" into the filename each time I download, either the place or subject I was working with. And once all images are downloaded successfully, you can delete them from the card with a single click.
-Eric