A:AnswerThat existing ethernet connection is supplying your smart TV with internet access. The firestick will also need internet access. The firestick has built in wifi capabilities for receiving internet, but if you would prefer to supply internet to your firestick via an ethernet connection, there is an adapter you can buy.
A:AnswerDish is satellite - this is a streaming device, so you have to change the source on your TV from HDMI1 (Dish) to HDMI2 (Firestick) to watch it. It doesn't matter if you have cable or satellite, as it's separate. However, if you have pay-subscription channels like HBO or Sundance through Dish, you can watch them on this. You may find the pricing is cheaper going through Amazon or the channel app itself than what you're paying now through Dish.