Z10 battery and charging problem

I have a Z10STL100-1/10.3.0.1052 , and whenever I have data services active on my phone my battery dies super fast (in about 3hrs) and phone tends to get really warm (over 42deg. Celsius). Without data services it last for hours. Been having this problem long before 10.3, 10.2.1 and 10.2.

Also

Whenever I plug in the charger it doesn't charge whenever I'm using the phone even if it's just simply texting unless I leave the phone, instead it shows that icon which means the battery is full. I was using original charger that came with it and now I'm using an original PlayBook charger and it's the same thing.

ANY IDEAS???
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Posted via CB10

Try restarting or hard restarting. Also try the battery calibration tutorials (search crackberry for it). If nothing works, you may have to reload your os. Did this happen recently (when you updated) or has it always been a problem?