After Dr. Marr ramps up the frequency to destroy the Crystalline Entity, it starts to shake and resonate with the graviton pulses, but the star field behind the entity also shakes. Since the Crystalline Entity shakes but the Enterprise does not, the star field should not have shaken along with the entity; otherwise, the graviton pulses from the Enterprise would be proving themselves to be powerful enough to rattle the galaxy.
Just after the opening credits, as the crystalline entity turns up, three different people can be seen running away from certain doom - a young child (with Dr. Crusher) and two young adult blonde women - laughing as if they were having a great time. Given they were in mortal danger, it seems out of place.
When Data and Dr. Marr enter the turbo lift, and Data explains how the memories of the colonists have been transferred into his memory cells, Dr. Marr says, "Bridge." A few moments later when they arrive at the bridge and the turbo lift doors open, you can clearly see the same corridor they walked in from.
Dr Marr threatens Data with dis-assembly if it's discovered that he has any involvement with the Crystalline Entity. Since it was already hashed out in The Measure of a Man (1989) that Data is a sentient being, her threat was not only empty, it should have been construed as her being unstable and dangerous. Data should have reported the matter to Captain Picard and the doctor should have been removed from the project.
At one point when Dr. Kila Marr scans the cave with Data, she holds the tricoder upside down.