Does the plugin support invoicing?

The plugin doesn't support invoicing, as this is not something needed here in North America. You will have to add an invoicing extension, such as:

• https://wordpress.org/plugins/woocommerce-pdf-invoices/
• https://wordpress.org/plugins/woocommerce-pdf-invoices-packing-slips/
• https://woocommerce.com/products/pdf-invoices/