First thing I would check is the focus.
The D800 [unsure if the 800e is affected] and D7000 are notorious for focusing issues; honestly this is probably a more prevalent issue than some of their recent mishaps that they offered to fix for free. It's about a $250 fix from Nikon to replace the flawed focusing module and lens mount. I bought two different D800s with the issue. I've borrowed another D800 from a friend and it has the issue as well.
I ended up fixing the second one because it only had 6,000 clicks on it and was basically new otherwise. But it really put a sour taste in my mouth when my D610 was nailing focus in side-by-side tests with an inferior AF module.
The AF Fine Tune will not fix the issue, as the issue is misaligned lens mount and AF module so it's that the optics are completely off and it grabs focus incorrectly. So after tuning it at a certain lens to subject distance, it just puts it off at another...
Do a google search on "D800 Focus Issue" if you don't believe me.
Since the D800e came out a few months later, it's possible this doesn't have the issue. And with a camera with such use, it's probably safe to say they didn't have the problem, or they were shooting at f/11 in the studio a lot and it didn't matter.
Looking back, I'm really mad I didn't just put that extra $300 into a D810, which I probably could have found for the difference. I personally would find great use over the highlight metering mode, as that's how I prefer to meter/shoot.