I believe this is a battery issue. Which should be cheap
I have the same problem. I found i way to turn boot the phone still though. I just have to stick a pin or similar thing in a little space in the back of the phone and hold it there for about 3 seconds and the phone will be booted. To wake the screen i just downloaded an app where i can use the power button to wake it and also downloaded an app where i can use the sensor beside to front camera to wake it.
Or charger port, which is daughter board
http://www.ebay.com/p/2x-zte-max-xl-n9560-micro-usb-charger-charging-port-dock-connector-usa/2096060176?_trksid=p2047675.l2644
Can't seem to find proper guide
[guide|73182]
Or it's charging circuit and requires microsoldering. Not for beginners