House does the right thing only after being whipped by Cutty.

Ehh he was already sort of aware when she asks why him why he thinks she likes him.

The gist of that episode was more that House was curious as to why she took a liking to him and knew that it’d push everyone’s buttons so he let her.

No, you are just over eager to slap the pedo label on someone even when people are explaining why it isn’t correct.

House was clearly just messing with everybody. He repeatedly rebuffs her advances. The only part properly creepy is the scene in the parking lot when the girl is leaving and has her jeans so low that her underwear is exposed and house openly leers at that. The rest of it is him just being flattered.

A far more better example of pedo like behaviour is the episode where they treat the teenage supermodel