These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Doctor Who NS S4 E2 "The Fires of Pompeii"
Fridge Logic: Of course Caecilius wanted to buy the TARDIS, He's the twelfth Doctor and wondering what it's doing, having forgotten he saved himself a few centuries ago (or whatever).
There's a lot in the episode about soothsayers being able to tell the future from the past. The two main extras would go on to be the lead cast, fulfilling this. Though, Doctor Who does have a tendency to invoke all this.