A:Answer I use my bluetooth headphones with this TV, but it's worth noting that the bluetooth settings are designed more for permanent setups like a bluetooth speaker. If you have a set of headphones you'll always use with the TV, and not with other devices, it's a piece of cake. Otherwise, pairing/unparing isn't necessarily automatic and takes a few steps (at least with my earbuds).
Go to the FireTV settings menu, navigate to OTHER BLUETOOTH DEVICES, then pair your headphones.
Once paired, you can navigate around the TV and your headphones will work with any of the TV's apps, but in my experience, I have to turn off bluetooth on my iPhone to prevent my headphones from dropping the TV and reconnecting to the iPhone while I'm watching the TV (like if a call comes in). To reconnect to the TV, I have to close the app I'm using, navigate back back to settings and connect (don't have to pair again, but have to connect -- i.e., it doesn't happen automatically if my headphones have been connected to another device).
And yes it has ethernet !