I have no "new action" button or any of the other functions in the actions panel that the user guides are telling me I should have. I'm trying to create sets and organize my actions but all I am able to do is to load, play or delete them.
You are probably following tutorials or help files for the full Photoshop. You have never been able to create your actions in any Elements versions (nor organize in sets). By the way, this faq could be updated with the above limitations: https://forums.adobe.com/message/4568487#4568487