I have another solution for you if you want to give it a go. I do understand that your device is new and technically this is for devices that have been used for some time but it wouldn't hurt to give it a try.
For Your device:
Charge it to 100% and keep charging it for at least 2 more hours. or 30 minutes does not really dose not matter.
Use your device until it shuts off due to low battery.
Charge it uninterrupted to 100%.
I hope this helps solve your situation your having. I would also try @jaerod1130 suggestion mostly likely it could be either or just one issue with your device. I hope you're having a great day as well.
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