Despite C-3PO wanting a droid's feelings and emotions to be considered, he is resigned to accept that it would be in their best interests to surrender the game of chess.

Source: https://gamerant.com/star-wars-best-most-iconic-c3po-quotes/

It has been established, however, that the droid's name was taken from real-life filmmaking technical speak when sound editor Walter Murch asked for reel two, dialogue track two — R2-D2 — while working on "American Graffiti."

Source: https://www.slashfilm.com/1286547/what-tie-stands-for-star-wars-universe/