No, you need to check which battery model your camera is compatible with. 

After the mobile phone and the device are successfully connected, as long as the device is in the WiFi area where you are connected, your mobile phone can remotely view the device data through the APP as long as it is connected to the Internet. Please pay attention to ensure that you are using 2.4GHz WiFi when connecting, and the WiFi area where the device is located has a strong signal to avoid accidental disconnection due to weak signal. Hope this information is helpful to you. 

The camera needs to be set to function without an E-Mount lens attached. You can do this by changing the following camera setting: 'Menu' -> 'Setup' -> 'Release w/o Lens' -> 'Enable' (Exact naming and location of this option may change depending on camera model). If your lens does not have a manual aperture control ring, it will stop down to its smallest f/stop by default. 

No, just open the deer camera's built-in WiFi via the controller and connect your mobile phone to it. then you can set the parameters of the game camera and download the recorded images & videos to your phone. 

No it has nothing to do with home wifi. It just links to your phone. I would call it more like Bluetooth rather than wifi