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.
An alien species that can't travel off their planet or leave their solar system, somehow has the ability to scan the shields of the Enterprise and penetrate them.