Hey, I'm not the one who coined "Pax Britanica." People can read for themselves why this period of history is called that, and why it compares favorably to Pax Americana and Pax Romana as opposed to the rest of history on the continent, instead of relying on what you or I say. :)
I don't think you understand what the term Pax Romana means (or the other derivative terms you cited). It's a period of unnatural political calm, after every instance of rebellion has been crushed by overwhelming force, and the "rebels" put to torture or death. It has nothing to do with peace, and doesn't really contribute much to your argument.