Other mistake: At the end of the episode after delivering his complex greeting to the Jarada, Picard and Riker head for the Turbo lift. Just as they are about to enter, Picard opens his mouth really wide as if making a funny face to someone inside the turbolift or maybe quietly celebrating a 'successful take' given the bizarre nature of the greeting! Although it was filmed from the side it is quite easy to spot.
Continuity mistake: The lipstick on Picard changes between when he is kissed, and later when he leaves the holodeck (it's darker and on and above his lips.) Also, and more importantly, being holodeck matter, it should have disappeared after re-emerging in the real world.