Hello Sumoro
Battery and scene selection have already been answered.
There is no camera case, but there is a practical camera bag that can be worn around the neck and offers good protection. This is available from Digitec: Sony LCJ--RXK at Fr. 69.90

Hi sumoro,

Yes, the battery (NP-BX1) is replaceable. You can order this here on Digitec if required. Yes, the "handheld at twilight" is available under the scene selection. This allows you to shoot night scenes without a tripod with less noise and blurring. A continuous sequence of images is taken, which undergoes image processing to reduce subject blur, camera shake and noise. No, no camera case is supplied. The included accessories are as follows :
Battery (NP-BX1), AC adapter, micro USB cable, wrist strap, shoulder strap adapter, instruction manual

Sony Europe

Yes, the camera has the NP-BX1 battery used in many Sony compact cameras.
"Handheld at dusk" I think not, or at least that's not what it's called.
And a case is not included in the scope of delivery.
But you can also find out more directly from the manufacturer: https://www.sony.ch/de...