When Rory hits the handbot over the head with the Mona Lisa it tears like canvas. This is obviously a fake because the Mona Lisa is painted on wood, a white Lombardy poplar panel.
At 24:48, the cameraman is visible in Rory's glasses, with Amy behind them.
With no idea which of the 2 buttons to press, why didn't Amy ask which one before walking through the door, and why didn't The Doctor or Rory tell her rather than just saying the button?
The Doctor makes a big deal about how much the TARDIS was struggling to maintain the paradox of the two Amys. The TARDIS however has before maintained much larger paradoxes, in particular the invasion of the Toclafane in the two-part finale of season 3. Yes, the Master had to make modifications to the TARDIS to achieve this, but surely if the TARDIS could enable humanity to go back in time and invade itself, it could handle two different versions of the same person.