Hello @minimal,
If you wish to edit the archive page (Shop or Blog, Cart, Checkout) using Elementor, you will need to use Elementor Pro, as the default Elementor does not have this option.
Regarding the Checkout page, it is provided by WooCommerce by default and contains only one shortcode – https://woocommerce.com/document/woocommerce-pages/.
You can edit the layout via Theme Options > WooCommerce > Cart/Checkout layout as per your requirements.
Best Regards,
8Theme’s Team