What are you using to charge the phone? The thing that strikes me is that the charge level is often not rising, and sometimes falling, while the images say it's charging, but quite a lot of the time you seem to be using the phone while it is charging as well. That is possible if you are using a weak charger and running something intensive, would be worrying if you were using a standard mains charger and just browsing.
Have you tried just charging it fully after it shuts down, leaving it turned-off until fully charged?
I've never seen anything quite like this. I've had battery miscalibrations where it shuts down around 15-20% with my last device, but never at 70%, and usually charging it right through to 100% after that reset it anyway.
Image 4 is a bit worrying.