Yes, the video camera can record while it is charging. 

For threaded installation, just screw it directly on the lens thread. 

Yes, the hunting camera comes with a solar panel with a 3m cable, the solar panel can be adjusted to suit the location and How do you get the electricity? How much capacity does the hunting camera have The product itself has a battery capacity of 7800mAh and is powered by the solar panel. Please fully charge it with the adaptor before use. You do not need to remove it often to charge it in summer and in sunny places 

Yes, but you need to contact us to purchase the bracket and extension cable separately, the extension cable is 2M 

No don't use this for that purpose. Use a properly designated "Solar filter"