Battery will not charge and computer will not run unless plugged in.

My MacBook will not charge or stay on without the magsafe plugged in.

I have replaced the battery connector and the magsafe DC-in board. While it is plugged in the magsafe cable shows orange and the computer shows the charge indicator symbol (little lightning bolt), but it says 0%. And it is a new battery.

Coconut reads;

Battery Charge;

-Current charge: 0 mAh

-Maximum charge: 4200 mAh

Battery Capacity;

-Current capacity: 4200 mAh

-Design capacity: 4000 mAh

Details;

-Mac model: MacBook4,1

-Age of your Mac: 51 Months

-Battery loadcycles: 61

-Battery temperature: 29.9 C/85.8 F

-Battery power usage: Charging...