I have a lot of experience with the 70-200 II, the 70-200 E, and the 105 1.4, having owned each of them, one of them more than once.
I can't tell you which one is best for you. I will not dive deeply into rendering, and technical drab, sorry. But perhaps this can help... I am always good for a salesman's approach tutorial!
Seeing what my nikkor friends produced with the 200mm? Man, the 200mm is the beast and best. But it should be, obviously, for that price, size, and weight. The rendering isn't the end all with these, IMO. All three render well enough for any professional. To me, it's about budget. It's about the need/desire to have a ton of tools vs. one swiss army knife tele. The less is more approach, is what I've been after lately. If you're shooting people, and it's not about budget, the E wins. Packing a 28mm 1.4, 58mm 1.4, and a 70-200E, gives me 99.9% of what I need. And when Nikon releases a 50mm 1.4e, I'll complete my holy trinity!
85mm 1.4G is the cream machine. EXCELLENT, artsy, and smooth bokeh and transitions. Not AS sharp wide open as the 105, but useable. 1.6 is better. Not as sharp as the Sigma Art, more expensive, but lighter!! This lens and a 35 1.4 can do a lot of damage! I love this lens. It'll be a sad day when I sell it, but I may soon.
The 105mm is a special tool, for a craftsman. It really doesn't get any better than this, for a prime tele. But that is just it... it's a lot of size, weight, and money, for a prime tele. You can use it for portrait time, at a wedding. And during ceremony too. But when you're standing in that center aisle and the bride is walking towards you, a 70-200 would be much more useful!
The G II is not really 70-200. So all that size and weight... to not really get 200mm is sad.
The E. This lens is the answer.
1. The lens is so sharp, has amazing color, ridiculous AF (2x as good as the G II), amazing VR (again, improved and 2x as good as the G II)
2. The weight and length have been reduced, when compared with the G II! This is a huge deal for me. I can dual wield much more comfortably now.
3. You are REALLY getting 85, 105, 135, 200 all in one package now. I don't miss the 105 at all!!!!
4. It's expensive, but see #3. You are getting THREE primes (it's tele and @2.8, let's face it, you're still able to blast the background).
5. Versatility. Again, going back to #3. You have an 85mm (which is where I typically start with this lens). But you can snipe at 200mm during cocktail hour. With the G II, you really couldn't snipe as good. It's not really 200mm with the focus breathing (which is real). Plus the new VR is so improved, it's easier to snipe/hand hold at 200mm with the E.
6. Swiss Army Lens. I can validate having this size and weight (and cost/value) in my bag, b/c again, #3. Some folks own an 85L, 135L, and a 200L. And they are sitting there packing, deciding what can come and what can't. Now the whole gang is welcome.
7. It's E. So it's already updated. The G II is not. The 105mm is, obviously. But it's a specialized tool, wasn't getting used enough for me to keep it. I sold it after a year.
Hope this helps in some way!