Mitena Haro's make-up comes loose at the base of her neck, revealing the line dividing her face to be just that, make-up.
In Ten-Forward, the fake Captain Picard orders "Ales for everyone." This is a meaningless gesture, since it's been established that money is not used at this point.
Data describes the nearest pulsar as "a rotating neutron star of approximately 4.656 solar masses". This might anticipate a future breakthrough. Current physics has been putting the maximum possible mass of neutron stars at 3 solar masses (the Richard Tolman-J. Robert Oppenheimer-George Volkoff limit, calculated in 1939).
According to Mitena Haro, Picard is tapping the first six prime numbers trying to communicate with their abductors. The first six prime numbers are 2, 3, 5, 7, 11, and 13. However, Picard is tapping 2, 3, 5, 7, 3, 5, 5, 7, 7, and finally 4, before giving up.