1) Our theme does not have the option to display attributes select on the shop page, we have only variation swatches https://youtu.be/LgzC4iK-j6A
If you want to display select you can implement this by additional customization only. For example, check if code provided here https://remicorson.com/display-woocommerce-product-variations-dropdown-on-the-shop-page/ will work for you or submit customization request https://wpkraken.io/?ref=8theme
2) As I can see the mobile menu icon is white https://prnt.sc/1vw4li7 So, provide screenshot of the issue for better understanding.
3) Check now, please.
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