There is a mechanism in place that will allow the door to open if the three sticks are placed in the correct positions in the panels of the door.
Using the picture above the door as a hint, place the three where they need to be.
Slide the sticks to move them, and touch to rotate.
The picture above the door is of a monkey lying on its side.
There are letters written on the panels.
The panels and the monkey are in the same state.
Continuing on from hint three...
The letters on the panels are lying on their side too.
The answer is as follows.