For the fake question; there have been counterfeit Heritages... but far less common than the chenders and chibsons. Even then, it would mostly be the 150 that was copied. Seems rather unlikely to land a fake 535, but once you post some pictures, we can help identify any potential red flags.
As far as specs, I don't think I recall ever seeing a measurements sheet with any of my Heritages. Usually the factory would do a general ball park setup, with some expectation that the player was going to do the final setup to their specific preferences. Usually it's set the action height/adjust truss as needed, fine tune the intonation using a tuner (open string vs 12th fret); then finally set desired pickup height. When in doubt, always good to consult a trust local luthier.