What counts as a right?

The passage of ObamaCare inspired me to think more about the nature of rights, particularly what constitutes a right. It seems to me that two criteria are required for a right: (1) it must be universally applicable (at least within the group -- for example, it's not expected that we grant an Iranian citizen the same rights we grant a United States citizen), and (2) it cannot infringe upon the rights of another (such as by demanding that someone give another goods or services). So for example, property rights are universal in that all human beings have the potential to own property, and the act of owning property does not infringe upon the potential for others to own property. Are these valid criteria for rights? Are they sufficient? What might I be missing?