Corrected entry: Whomever designed the base's defenses was an idiot. The electrified matting outside extends for a distance exactly equal to the distance a man can run in the 8 seconds it takes to self-repair; any sensible defense designer would have extended it to a greater distance than it was possible for anyone shooting it to run in that time. Inside the base, we see the ceilings of many passageways (well, actually the same section of passage over and over with different lighting), and the only passage with overhead pipes/monkey bars is the one with the electrified floor. Very convenient.
Corrected entry: There is only one real human left aboard Star One. Instead of killing her on sight, the Andromedan invaders prefer to tax their own energy maintaining human forms to deceive her instead. Servalan views her Federation personnel file back at Federation HQ, and then the shot fades to the woman herself, on Star One, not only in exactly the same pose but wearing precisely the same clothing, makeup etc. as in the personnel file. That's what I call an up-to-date records system.
Corrected entry: To sneak Orac into the Casino, Avon tricks it into reducing its own size by claiming that it is impossible to do so, whereupon Orac immediately shrinks itself to prove otherwise. Knowing in theory that it is possible is one thing, actually doing it immediately without the use of any other equipment is just plain silly. What practical device or physics did Orac use to perform this miracle? There are only two possibilities for shrinking an object to, for example, 1/4 of its size. (1) You can remove 3/4 of the atoms in it. Orac might still be functional doing this but would never be able to be upsized to original size again (since 3/4 of the molecular content is now lost, you'd end up with a "pixelized" version of Orac on re-expansion). (2) You could compress the available atoms into 1/4 of the physical space, which would made it 4 times as dense, and therefore as stable as a nuclear bomb, with a gravitational pull similar to that of a neutron star. Apart from the fact that physics are different for objects of that density and so electricity, for example, wouldn't work anymore: if Orac used this method, its voice would have changed beyond the range of human hearing.
Corrected entry: Avon and Vila seem obsessed with a pointless exercise. Initially they plan to break the casino by winning a million credits with Orac's help, but Vila can't stop and gets their winnings up to 5 million, then risks death by electrocution by playing the Klute at Speed Chess for more. But when the Liberator was first boarded in Series 1, the crew found a room containing riches beyond imagination - currency, gems, etc. There are at least 30 million credits worth in there, because that is how much Jenna offered the hijacker of the Liberator in 1.11 'Bounty' to let her go.