My MBP 15 - 2011 shuts down, already changed battery and reset SMC.

Hello!!

Just purchased a faulty MB Pro 15 Early 2011. It works perfectly when plugged to AC adapter ( I use an original ) but when running on battery it randomly shuts off and I cannot then turn it on. I have to push many times the power button and then ir turns on, as a result I lose all the work going on....

So I got a new battery, but still the same problem. Reseted SMC and the same. I downloaded coconut battery and ran terminal and I get this:

Last login: Mon Mar 19 15:51:43 on console

Juans-MacBook-Pro:~ juan$ pmset -g batt

Now drawing from 'Battery Power'

-InternalBattery-0 35%; discharging; 0:49 remaining

Detailed failures: "Externally Indicated Failure", "Safety Over-Voltage", "Cell Imbalance", "Discharge FET" present: true

Juans-MacBook-Pro:~ juan$

Please help me, whats going on, what can I do? I read on some other tread something called the battery controller chip, this might be the problem?

Any ideas?

Thanks!!