Crowds of people walking through London under alien influence: Non-check, though half the population of London appears to be really Bane.
Tie-in with Doctor Who story: Check, and mate.
Girl protagonist's mum is annoying: Check; seriously, all it takes is for someone to wander round saying they're a nephew of her neighbour's and she's having them in for tea? I actually live not too far from Ealing, and, while it's a pretty friendly neighbourhood, no self-respecting Londoner is *that* trusting. Also more antics with getting Sarah Jane's name wrong.
Mobile phone as plot device: Non-check, though a galactic sat-nav is.
Luke says something so daft that you have to wonder how he gets through life without being mercilessly bullied: Well, he doesn't actually *say* much that's daft, but he does sit there listening to Mrs Wormwood with this air of dumb incomprehension, and it also never occurs to him, once he's inside the forcefield, to just point out to Mrs W and Kaagh that they can't get him in there, and sit down and wait things out rather than doing their bidding.
Sonic lipstick: Check, complete with jokes about ladies carrying lipsticks.
Wristwatch scanner: Check.
One or more of Sarah's companions falling under alien influence: Non-check, though Major Kilburn does turn out to be a Bane (like everyone didn't see that coming).
And, a special bonus for the end of the season....
Sarah Jane making wide-eyed speech about the wonders of the universe and how great it is to be in her gang: Big old check.