I'm not sure, but I think so.

Im not sure , Im not using it as a remote controller.

I don't know, I haven't tried it, but I mainly use it as a weather station

I don't know, we control almost all the lights and the TV wirelessly via the tablet. The app is brilliant and the tablet only needs to be on the same network. We also use it most of the time in the bus to control the functions of the roof, lighting, battery voltage, etc. But here too via Bluetooth.