A:AnswerI wouldn't do that. 1st, even the latest LED TVs produce some amount of heat and this antenna might trap that heat and fry the electronics 2nd this location would, most likely, have bad reception due to the electronics inside the TV.
A:AnswerAs long as the coax cable is of good quality, the length of it shouldn't have an impact on reception. The reception comes from the actual antenna so you'll want to make sure that is in a good spot within your home to acquire the signal from the broadcast tower.
A:AnswerYou will receive over the air channels, however those may be included already in you Roku free channel. Yet you may also receive channels that are local to you that aren't available on Roku free channel.
A:AnswerAs long as you can receive the signal this antenna should work great for your application. For the stations it receives HDTV and 4K picture is excellent.
A:AnswerI am almost sure it will work. It is quite easy to install. If your TV has the connections for it (see picture), I would try it. Best buy has an easy return policy (my experience).
A:AnswerI attached a picture of the end of the wire. I think if you ask at the hardware store, they could give you an extension that has this connection on both ends. It looks like a cable wire but the cord is thinner.