I've charged them with a Nikon charger with no issues 

If you use EN EL 15, you can use these batteries. But I'm not sure if your camera allows them to charge in camera 

Thank you for your question. This model no touch screen, but it can be easily operated by the buttons on the panel. 

this solar camera have 4X digital zoom. 

Hi. Yes it is suitable , in fact , that's the very camera I'm using it on. It rather depends what you mean by 'fully'. The camera will not use any of it's auto features because the lens is totally manual , there is no metering and also the focus aids don't work. However , the camera takes pictures with a tamron lens perfectly well . Set it to 'M' on the dial and then set your own shutter speed and aperture . It will look a little dark through the view-finder ( at least it does on my 135 telephoto lens ) but the pictures come out fine .