Although the temperature on the Moonbase drops to five degrees below zero (Zamara apparently having programmed Alpha's power to begin to wane after her departure), Maya and Sandra continue to walk around in skirts.
According to the shot of the planet Vega's exterior, the moon was within flying range of the planet, but it's odd that instead of sending out a reconnaissance mission, the Alphans seem preoccupied with throwing themselves a party.
When Zamara first appears on Alpha, Koenig asks her where she came from. An odd question, as the moon seems to be practically in orbit around the planet Vega.
Attempting to increase Alpha's heating by gathering the power packs from the Eagles, Alan Carter informs the Commander that they can't reach the Eagles due to lack of power in the travel tubes. This implies that no attempts had been made to fly down to the planet to rescue Helena and Tony.
At the 8:07 mark when Zamera vanishes and Koenig passes between her and the camera, the effect of the transporter light is between him and the camera. In reality, the light would have been hidden behind him.
Supposedly, the play "Othello" had been chosen by the androids to invoke violent behavior in the Alphans. However, if "Othello" had been successfully emulated, Koenig would've killed Helena rather than going after Zarl.
While Alpha's temperature is plummeting due to lack of power, Maya explains to the Commander that electrical currents simply cannot flow. As she's saying this, the wall lighting panels behind them are shown lighting up the room.
Alan shoots Zamara, but his violence doesn't give her the information she and the other androids need for commuting violence.
Despite reading about violence, that doesn't give Zamara (and the other androids), the knowledge to commit violence.