Is it suspicious that my battery was manufactured November 2016? I have checked it with "Battery Health 2". The MBP 13, 2015 is from early 2015. And battery is from late 2016.
Update
I have started with this question: Check whether a MacBook is new or not
I didn't want to ask other questions in comment, that's why I've created this one.
Update 2
This is the information I've got with serial number:
Model: – MacBook Pro (Retina, 13-inch, Early 2015)
Codename: – No codename assigned.
Build Country: – This unit was built in China.
Build Year: – We could not verify the build year of this unit.
Build Week – Week 24 (June) or week 51 (December).
Production Nr.: – This unit was number 333 to be built that week.
Best Answer
No, I do not believe this is suspicious. The early-2015 model 13" MBP is still a current model. So, unless you actually bought the MBP before November 2016, this is not at all suspicious.
To put your mind at ease you can check your MBP's serial number at a number of sites to retrieve the manufacturing date amongst other info. You can access one such site here.
[EDIT]
In response to question update.
The fact your serial number search shows it was built in either Week 24 (June) or week 51 (December) backs up my assertion. This is a new MBP built in December 2016 (after the manufacture of your battery and before you purchased it).
This confirms there is absolutely nothing suspicious about your MBP.