Dear Bryan,
First of all, thank you so much for purchasing our EShop extensions. Regarding your questions:
1. Currently, EShop CSV Advanced only supports you to put image name for product_image field. And images must be uploaded to media/com_eshop/products/ directory on your server. If you would like to use an url link to image for product_image, then I will make the modification to component to implement it by downloading image via URL that you gave in CSV file to media/com_eshop/products, then assign image name for product.
2. To assign a product to multiple categories, you just need use Category Separator for category_name field:
Example: category_name: category_1;category_2;category_3;etc.
Please send me the your csv file and the back-end login account to your site so I can help you to implement the thing you want. You can also add me on Skype for easier support. My Skype ID is outsourcepro
Hope to hear back from you soon.
Sincerely, Giang