I just received this case today.
I included that last picture to show how thick it was above the screen. That guitar pick is .73mm and it is just slightly below flush with the case. I would estimate that it sticks up about 1mm total above.
The case doesn't make you hit the volume buttons on accident and remain easily press-able. The case is BLACK, not grey/black. The part that looks grey is just a matte finish vs. the rest of the case's glossy finish. The case fits snugly with the standard battery. I can't comment about extended battery. Since it fits so tight, you may have to take the battery door off. It is a TPU Gel case, so it may stretch. The headphones included with the Nexus plug in just fine, as does the USB cable. There is a cut out for the 3 dot connectors, but I'm sure you'll have to take the case off to use it with any dock/cradle that will use that function.
All in all it's a good case for the money and it came with a key chain screen wipe.