Hi again,

#2.3: Please select only 1 subcategory for each of your products. When you select a parent category for that product, all products in the same parent category will be displayed as a category with the same category. https://prnt.sc/10gkrv5

#4. Please go to Appearance -> Widgets -> Woocommerce Shop -> Product Categories: https://prnt.sc/10gkw6z

#6,7,8: I added css + code custom into child-theme, so that, please active this theme to use for your site.
And, please delete all cache on your site when check.

#9. My account on Desktop: I added on desktop, please recheck.