The model of Recovery 7 is a different colour from the full-size prop.
After the cliffhanger is resolved, the plaster vanishes from the Doctor's face between shots.
As Reegan sabotages the refuelling of the Recovery 7, a label by the fuel valve can be seen which reads 'M3 Varient'. This is presumably a mis-spelling of 'M3 Variant'.
The Doctor waits on the rocket launchpad supposedly seated on his back in the capsule, yet the clipboard on his lap defies gravity's effects to stay stuck to his thighs (The camera is clearly at a 90° angle).
A boom microphone shadow is visible on the Doctor's face during his conversation with the Brigadier in Sir James's office.