Hello,
1) I passed the issue to our developers. I’ll inform you once they fix the problem.
2) I don’t get any error while searching on your site https://gyazo.com/128f0c001b84a8d42edd4bcbbb8f8a33
3) yes, you can
4) Shipping options are WooCommerce plugin options. Our theme does not have any settings for this. So, contact WooCommerce support about this https://wordpress.org/support/plugin/woocommerce/
Regards