Picard is shown looking down into the valley of Ressik holding a straw hat in his left hand. In the next shot, taken from the front, the hat is missing.
There are several times it is obvious that the flute is just a prop and doesn't play music. E.g., at the end of the show, from the way Picard is holding it, it is obvious that there isn't even a hole at the mouthpiece.
Data says, "It is an unmapped system of six planets." yet Geordi correctly identifies the name of the planet within the system.