Theory:Doctor Who television discontinuity and plot holes/The Girl Who Waited


 * The facility is a medical emergency quarantine for terminally ill people to live out their lives in an entirely seperate and compressed time stream relative to our time stream. It is a medical facility with mastery over monumentally complex powers, yet it cannot be trusted to correctly identify that a patient has only one heart. Or indeed whether or not treatment would be antithetical to it's cause.
 * If it is assumed to be a closed system - only the planetary inhabitants involved - that makes a degree of sense.


 * Amy claims to have learnt the trick of having Handbots feed back into each other on the first day, even though she had been there a week at the very least.
 * She most likely meant, her first day meeting them.