Lowepro - Hardside CS 40 Camera Case

It does not have any internal zip pockets, but there is a mesh pocket with a small velcro’d flap. I’m not exactly sure on dimensions, but it fits a Sony ZV1

No, but it has a small loop you could connect to a carabiner or other clip.

I'm not familiar with the Sony A6000, but it handles my Canon pc2200 w/50mm lens very well.

Yes mine fits perfectly

I use this case for my Sony RX100 VII so I would think that it would also fit the older version of this camera. I put my Camera on one side along with the USB AC Adapter. The other side I have the USB cable and I will put an extra battery there when I get around to getting a second battery. You may need to take out the Two Velcro straps to get the camera to fit. Maybe bring your camera to the store to see if it fits in this case before buying. Hope this answer helps.