The motor is powered via a Micro-USB port. You can use a 5V power bank, a gimbal's power output, or a D-Tap to Micro-USB cable for higher voltage (up to 18V).
The handwheel controller uses a single 3.7V 14500 rechargeable battery, which typically lasts for up to 6 hours of operation.
Yes, the kit includes a follow focus gear ring that can be wrapped around standard photography lenses to make them compatible with the 0.8 mod motor gear.
Yes, the Nucleus-N handwheel is cross-compatible and can control the larger Nucleus-M motors, though it only supports a single channel.