Crowds of people walking through London under alien influence: No, again. Though the art competition judges have to be under some kind of alien influence, to have given Clyde's poorly-proportioned "Charlie's Angels" ripoff first prize.
Tie-in with Doctor Who story: As well as being a reiteration of "Fear Her" (and on the non-Doctor Who front, when are the writers of this series going to stop plagiarising Sapphire and Steel?), the presence of the Mona Lisa renders this one a direct tie-in to "City of Death." Imagine if all six Mona Lisas had come into contact with the demon painting....
Rani's Mum is annoying: Rani's Mum is yet again absent (is divorce in the air? Certainly Rani's Dad does look awfully pleased to see Sarah Jane), though she does give Rani's Dad an earful over the phone.
Star Wars reference: Clyde to Luke: "I hope you know what you're doing my young padawan; you've gone right over to the Dark Side"
Mobile phone as plot device: Yes, repeatedly so. I've been to lots of galleries where they ask you to switch your mobile off, but never to any where they actually confiscate them too.
Luke says something so daft that you have to wonder how he gets through life without being mercilessly bullied: Right at the start, where he informs Clyde that art is just a matter of biomechanics and geometry. I'm surprised Clyde doesn't clock him one for that.
K9 interprets a figurative English expression literally: No, probably because the K9 we see isn't the real one, but an artisitic interpretation.
Sonic lipstick: Check, and used for breaking and entering again.
Wristwatch scanner: Check.
One or more of Sarah's companions falling under alien influence: Yes, if you count Sarah turning into a Hockney.
Sarah and/or companions acts like a selfish cow: Told to clean his room, Luke goes into a snit rivalling Rani's from "The Mad Woman In the Attic," similarly involving the switching-off of mobiles and assertions that he can solve the mystery on his own.