A:AnswerThis box is connected directly to the antenna. It then sends its output through your wi-fi network. Any device you want to watch TV on has to have a wireless connection and the ability to download the software that goes with the box. If you want to use the TV with the broken coaxial connection it must have wireless connectivity and the ability to download and run the Hauppauge app (and you must have a wireless home network) or the Hauppauge Cordcutter TV will not help you.
A:AnswerNo. This product does not improve wifi speeds or coverage. Look for something that acts as a wifi mesh instead. Examples include eero, netgear orbi, ubiquiti amplifi, or Google wifi.
A:AnswerYes... This will work with just about any WiFi router. Higher speeds will get you somewhat better results depending on the video quality you want.