I don't like the Stick if the TV is between it and the router or access point- some TVs block RF signals very well, so I use and recommend the Premier, which isn't much different in price.
The TV should be fine with the signal from the Roku- none of my TVs with a Roku are newer, one is 720p and the other is 1080p- the smaller one (720p) looks great, even when the message in the upper left corner shows 1080p.