The social housing complex that Miller is living in is the Heygate estate at Elephant and Castle. You can see the Strata in one of the scene where Miller broke through some barricade to have the night view. The Heygate has since been demolished to make way for Elephant Park by Lend Lease.
Langdon mentions "Conolly's Great Game", this is a reference to Arthur Conolly's term that he coined in reference to the struggle between the British and Russian Empires over control of Central Asia.
Prior to filming, the training budget was slashed so Toby Kebbell paid for his own physical trainer, often under the supervision of screenwriter Robert Henry Craft (who is a former paratrooper).