The claim Paine refuted is the claim that Britain should govern American colonies because the colonists are of English descent. If you haven't, read Common Sense. It's an awesome read, and actually isn't too hard to understand, even if you aren't used to reading old English.
I believe the correct answer is the second sentence
James Watson's and Francis Crick's discovery of the structure of DNA earned them a Nobel Prize.
I believe this is the correct answer because it is them BOTH claiming ownership of the discovery.
Katniss, Peeta, and Effie watch the hunger games:)