I sell other products on my store but it is now showing Bookvault's shipping rates

If you are selling other products on your store that you may fulfill yourself, or another provider - you would need to setup something on WooCommerce to work with 'Shipping Classes'. This is a query best suited for WooCommerce if you are having any issues, but there is some documentation they have on how to setup this as well as a video - access that here.