I believe a wireless router would only support your cellphone reception if you have a special internet calling plan with a company like TMobile, however satellite internet service is still not recommended to utilize this feature. In addition to that, repeating your signal over such a large area would cause your speeds to drop drastically and possibly not even broadcast at all. I hope we were able to provide some insight to your question.
Can be done with Netgear as well, just put them all into AP, and assign them all with the same SSID, some of them have better options where you can tell each one if there is a master unit, then additional units and so on.
Yes, sadly Netgear is getting rid of the "Repeater" like function in the routers they sell, since it's hurting sells of actual network repeaters. So it's just one way to make sure you buy what they want you to buy. Used to be on older Netgear routers, you could go into them, tell them to work as an AP, then set them up just like a Repeater and have only power going to them. Now you have to have a physical cable going to their newest routers in AP mode, no repeat functions at all, even on NightHawks.