Whether they think of River as Melody, their daughter; Mels, their childhood friend; or River Song, the woman who has traveled with them and helped them, I would think they'd at least mention that they hoped she was getting on alright.

Amy's and, to a lesser or maybe greater extent, Rory's faith in the Doctor have been tested throughout their episodes. So has their trust in him. I've always thought of the Doctor's frequent statement, "Trust me, I'm the Doctor" in relation to River's statement that he lies. Moffat's Doctor is the least trustworthy I can remember.

I think it was telling that he had to say, after describing the monster last night, that he wasn't talking about himself. He too has a God Complex and wants his companions to believe in him, and yet he knows how he's failed them.