Crowds of people walking through London under alien influence: Non-check.
Tie-in with Doctor Who story: Check. Apart from being basically "Father's Day" for over-fifties, "The Monster of Peladon" gets a name-check and the Graske returns. Apparently there's also supposed to be a subtextual connection between the Trickster and the events of "Turn Left" as well, so that also counts (perhaps, having been thwarted on Donna, he's trying again with a less bolshy companion?)
Girl protagonist's mum is annoying: And a hat-trick for non-checks. Though Sarah Jane's mum keeps reminding me irresistably of Drusilla from Buffy.
Mobile phone as plot device: Non-check.
Luke says something so daft that you have to wonder how he gets through life without being mercilessly bullied: His guess-the-gobstoppers-in-the-jar routine; Sarah Jane's mum briefly looks like she'd like to give him a clip round the ear for that one.
Sonic lipstick: Check.
Wristwatch scanner: Non-check.
One or more of Sarah's companions falling under alien influence: Non-check, for a change.