Will it work? Yes.
However, your TV does not support 1080p (only 1080i, 480i, 480p, 720p), so 720p is the highest resolution you can use. The actual screen resolution is 1440 x 900, so even if it accepted a 1080p signal you wouldn't actually see that level of resolution. Your set has two HDMI inputs, so there should't be an issue using any Roku player with it.
Dan
Roku Stick (3600), Ultra (4640), Ultra (4670), Ultra (4800), Premiere (3920), Insignia 720p Roku TV, Sharp 4K Roku TV, Nvidia Shield, Windows 10 Pro x64 running Serviio and Plex on a wired Gigabit network.