First, I think that you mean the D800 as opposed to dx 800.
All of your lenses will work on the D800, but the 18-55 and the 55-200 are DX lenses so you would have to use them in what is known as "DX Crop Mode" which means that only the center 40 percent of the FX full frame sensor will be used. It will also show up that way in your viewfinder. I believe that the Tamron is an FX lens so you won't have that problem, and unlike with your D5100, it will also autofocus on the D800.
As for purchasing the D800 vs. the D800E, you may want to look through some of the threads in the D800 forum since this issue is discussed, ad nauseam. My take on these threads is that landscape photographers want the E and portrait and event photographers like the straight 800, but there are some that don't agree on that either.
The other two cameras, the D700 and D7000 are also good choices. You can buy a gently used D700 for well under $2,000.00 today or a new one for $2,200.00. With the D7000, your two DX lenses will feel right at home since it's a DX camera and your Tamron will autofocus.
As for portrait lenses, you may want to take a look at the threads in the Nikon Autofocus Lens Forum since, once again, this is a hot topic and discussed often and thoroughly.