Q. Is it true that a copy of the “real” Declaration of Independence is stored at Special Collections?

No, but we DO have a great exhibition on the Declaration and we do have early newspaper printings of it: http://small.library.virginia.edu/collections/featured/albert-h-small-declaration-of-independence-collection/

Not to mention that Special Collections owns 2 of the 26 surviving Dunlap Broadsides, printed on July 4, 1776, as the official versions authorized by Congress. Weeks later the "real" version (the parchment version at the National Archives, which was handwritten and signed by Congress) was commissioned, but the text actually varies from the original July 4 version that we have.