When someone makes an argument that sounds compelling, but is actually just based in wordplay and not logic.

Examples of Rhetoriculous statements:
"If you can take a dick you can take a joke" (excuse for homophobic jokes)
"If you don't stand for something you'll fall for anything" (there's no correlation between having passion for something and being immune to trickery. If anything, the opposite.)

A pick me is a woman that is willing to do anything for male approval. She will embarrass or throw other women under the bus to achieve this goal. The unfortunate thing about a pick me is usually the men they are trying to seek approval from are of poor quality and treat women badly, leaving little real benefit for the pick me.