That would be just a monitor, wouldn’t it?
No. The distinguishing feature between a monitor and a TV is that a TV has a tuner built into it.
There are other things like the variety of inputs and screen position settings on monitors, but those are mostly minor.
Anyone who uses an antenna. There’s a bunch of decent channels, like the news, you can get with an OTA antenna.
No. What you just described is “modern cable TV”. OTA channels are digital signals also.