No, the BGH1 is a box camera and requires an external monitor via HDMI or SDI, or a connection to a computer/tablet for viewing.
Yes, it supports PoE+ (Power over Ethernet), allowing you to power the camera, control it, and transfer data through a single LAN cable.
Yes, it features Panasonic's DFD (Depth From Defocus) autofocus technology, including face and eye detection for compatible MFT lenses.
Using an AG-VBR59 battery, it provides approximately 120-150 minutes of continuous recording depending on settings and lens usage.