If your tablet is an Android product, then I highly recommend Calibre Companion. This is like having Calibre on your tablet. You directly import your Calibre library to your tablet. See this post to learn about it.
www.mobileread.com/forums/forumdisplay.php?f=264.
This will do everything that you wish. You can sort on tags, authors, genres, etc.
You will have to have an reading apt. I use Moon Reader Pro.
Hope this helps for some ideas.
Ron