Used alone, the WooCommerce Shipping Calculator plugin only adds the shipping calculator to the ‘Shipping’ tab on the product page.
If you also want to add other information, such as text or a table of shipping options, then you can do this by using it with Tab Manager. Use this plugin to create a custom ‘Shipping’ tab. You can then insert the WooCommerce Shipping Calculator [shipping_calculator] shortcode into the tab along with all the other information that you wish to display.