That the ethernet looks to be for firmware updates and no "smart TV" features.
To use Amazon Prime I'd consider a Blu-Ray player that has Amazon Prime on it (along with Ethernet and WiFi).
In parting, if you don't like the controller with the BD player, try a Logitech K400.
I have a Samsung LED TV, model no UN55B7100FW, manufactured October 2009. I want to know if it is wireless capable and how do I make it work. I keep getting a message saying it is not connected. I want to use Amazon Prime for my movie streaming through my TV.