@bantanaaudio
Hello Ryan,
The product category selector would be rather complex. I am not sure how we would add that without significant modifications. You could certainly have categories for Format (PARENT) and then child categories for Format.. then GENRE (PARENT) and child categories for Genre. TO have two unique selectors would be a tough one to code– as far as I can tell. You could try talking with a dev at codeable.io https://codeable.io and see what they would quote you for this work.
For the short description… do you have it hidden, by chance? wp admin > woocommerce > wc vendors > product form (do you have the box checked to hide it?)? Otherwise, if not, then would you please try deactivating all plugins except woocommerce, WC Vendors and WC Vendors Pro to see if it shows? If not, then try switching to the Storefront theme: https://wordpress.org/themes/storefront/
If these do not isolate the issue- please share your WooCommerce System Status in a reply, so I can see what you are working with.