How does wikileaks qualify as the press?
Your second point, I am not seeing how printing something that was leaked is espionage. The person that leaked it was probably committing that. I was researching what happened with the Pentagon Papers and the NYT got off on a technicality...there was never a ruling on the basic issue.
World Nut Daily is a press organization. Wikipedia is a press organization. National Enquirer is a press organization. Teen Beat magazine is a press organization. They are organizations that collect and disseminate information (if you want to call it that) for the public. That's really all they have to be to fall under "press" for purposes of the First.
The problem is in applying the statute. First, the accused spy had to have obtained classified information. Then, that classified information had to be "published", which in legal parlance means basically "dissseminated", and the dissemination had to be knowing and/or willful. Third, the information had to be harmful to the US government and helpful to a foreign government.
So in this case, the guy stealing the information completed the steps needed to meet the elements of espionage. It stops there as one full criminal transaction, and since he's military they get his sorry ass. Assange can most definitely be charged with espionage regardless of press credentials if it can be proven he was a conspirator. In other words, if rather than simply receiving the information passively he did something or provided something to further the espionage. Then he is part of that criminal transaction and can go down on espionage charges, press or no.
Stolen information is treated differently than stolen property, obviously. It's not an identifiable "thing" that can be traced and returned to its owner, once it's out it's out. So you have to trace the elements of the statute through each transaction, mere possession of it is not in itself a crime - with a few rare exceptions, none of which apply here.
Am I making sense?