Yes, the person detection can be switched off. In darkness (infrared), the person detection is inactive anyway - which means I have several shots of neighbouring cats every night.
Yes, the cameras are battery operated. The manufacturer states that the battery life is one year on a single charge:
One year of safety on a single charge: Avoid frequent trips to charge the battery and enjoy 365 days of battery life on a single charge.
More details here: https://us.eufylife.com/products/t88421d1
Unfortunately no, we do not yet have any further information regarding the availability of the PRO 2k version. As soon as we know more, we will be happy to announce it here.