Absence of Crowds of People Under Alien Influence: Just one, and a diminishing chorus of homeless people.
Tie-in with Doctor Who story: None.
Rani's Mum is Annoying/Is Absent: The latter, though we do get a story about how she met Rani's poor, hapless father.
Luke Cameo: By mobile phone, no less.
Sky says something so daft that you have to wonder how she gets through life without being mercilessly bullied: Actually she's the only sensible one this episode.
Sarah Jane Waxes Maudlin: In fifty-something years of living in London, it seems, it's never occurred to her that there were homeless people. See "Selfish Cow," below.
Mobile Phone as Plot Device: Clyde's gets stolen and stamped on-- he seems to be losing it a lot these days.
Racism Towards Aliens: Sky's clearly picking up on her mother's attitudes when she says that everyone's strange behaviour must be down to "some alien."
The Crimes of Sarah Jane: Child abuse.
Sonic Lipstick: Present.
Wristwatch Scanner: Also present, though not really much good.
One or More of Sarah's Companions Falling Under Alien Influence: Clyde.
Sarah And/Or Companion Acts like a Selfish Cow: Sarah and Rani really don't come over too well this story, even when out from under alien influence. They drag Clyde away with them rather than wait five minutes for Ellie to turn up (thus ensuring that Ellie's never found again) and, when Clyde goes on his search for Ellie through the homeless hangouts, Sarah Jane acts like it's never occurred to her that such places exist.
Totem poles, incidentally, are a West Coast Indian thing, not a Plains Indian thing. And the Mojave desert, being on the Southwest Coast of the United States, is well outside of Plains Indian territory. It took me two minutes on Google to find that out.