there is a column "tags" in your list of books in calibre. Just click a tags-field in a book of your choice, then assign a name for the library, you want the book to be shown in on your reader (e.g. "fiction", "mystery & crime", etc.) when re-exporting the books to your reader, you can choose "collections", so the different collections you created in calibre with the tags are shown. When selecting a collection, all the books of this collection are listed.
You can correct the author names in the same way.