A:AnswerI have the Sharp Roku 50" TV, but I don't have any gaming consoles, so I cant' confirm a lag. However, I have an audio lag on my Vizeo sound bar that's connected to the TV. I had to disable the TV speakers when the sound bar is on or I get an awful echo.
A:AnswerAccording to the specs, 4K has 2160p resolution where full HD is 1080p (p means pixels per square inch). So, in theory, a 4K tv is twice as sharp as an HD tv
A:AnswerThis TV has the Roku OS on it. Once you set up your Roku account and link the TV to it, you can add "channels" from their channel store. Channels are essentially apps, and yes, the Amazon Video channel is available.