As for questions, I'd like to contribute some that I have used several times and which generally serve to make hoax nuts go away.
1) When they talk about how hot it is on the moon's surface I ask them, "Why is there permanent ice on the tops of the highest mountains, even in tropical zones?"
2) "If astronauts were suspended from wires, why did they keep falling down?"
3) "Would you like to discuss the radiation data from the Chandrayaan, Curiosity, and Van Allen probes?"
4) And when they pick out some "impossible" anomaly in shadows or lighting I ask, "If Apollo was faked on some set, what would have caused this?"