Hi again, haikdl. Welcome to the community!
What you’re seeing is a function of WooCommerce where payment options that are not automatically authenticated as having been completed are set to pending until an admin marks them as complete.
You should be able to see the orders in the WooCommerce Orders list. There, you can move them to “completed” status. Once they have been marked “completed”, the emails you’re expecting will be sent.
Some user have found this extra step tedious. I know that some folks are using a third-party plugin to automatically mark orders completed. A search of the forums should yield you more information about that.
Hope that helps! 🙂