My D800E was purchased from B&H on Feb. 20. Serial number 30120XX. My copy is perfect in every way. Keep in mind the D800 and the D800E have different serial number sequences.
Since you did some testing "this evening" (to quote you), I assume you did it indoors and in some kind of incandescent lighting. Trying doing your test outdoors if you've done yours indoors to confirm focus. I've read that the D800/E have some kind of issue with AF and incandescent light. If you have a prime like a 50/1.8 or something, try using that too. I guess what I am saying is try a different lens.