Removing that panel is quite easy, and you don’t need to remove it entirely to fix that. There are two screws. They are under covers. On is inside of the pull handle well for the lift gate. The second is on the face. Remove those two and you will be able to pull the label away from the door enough to reseat the button. Replace the screws and you’re set.
This video shows how to remove the entire panel.
This video shows how to remove the entire panel.