WTF are the air quotes for?
The word right is used today to denote two very different kinds of things. People talk about the "right to freedom of speech" but also about "the right to a living wage". Unfortunately, these are two very different kinds of legal arrangements.
Rights of the first kind (exemplified by the freedom of speech) are negative rights: rights to be free from interference by others. You can do as you please as long as you don't harm anyone. Respecting and protecting such rights is, in my opinion, a principal function of government.
"Rights" of the second kind (exemplified by the "right" to have your employer buy you a specific form of health insurance) are positive rights: they amount to an imposition on someone else to do something for you. In other words, they cannot be fulfilled without infringing someone's negative right to be free from interference. Positive rights are properly aspirational statements ("wouldn't it be great if people could have X even if they don't have X now?"), and are called "rights" as a rhetorical device: since we all agree that negative rights ought to be protected by the government, calling something a "right" creates the impression that it should be protected too.
When speaking about positive "rights", I use the word in quotes to highlight this distinction, and avoiding the rhetorical trap set by the proponents of such "rights".
In the case at hand, the employees of Hobby Lobby have every right (without quotes) to use their salary to buy contraception. They don't (and shouldn't) have the "right" to have Hobby Lobby buy them contraception. The owners of Hobby Lobby (acting jointly through the company) have a right to freedom of thought, and a right to dispose of their property (Hobby Lobby and its money) as they please, including by refusing to buy someone contraception.