Not everyone - just a lot of people. The ones who clicked on the thing.(3) "But we can also mind control everyone in the world!" Uh... wait. How does that fit in with rule #2?
(4) "We also have ubiquitous surveillance which lets us look through every camera in London!" Okay, again... how does that fit in with rule #2?
Not connected. That's a separate capablity.
I'd agree, though, that this is the weakest episode so far.