Note II won't charge turned on but charges turned off?

I've had my Note 2 since April, but more recently we sent it to get the broken screen fixed. It used to charge fine, regardless of being on or off. Now, it will only charge turned off. When it is turned on, it will recognize the charger but the battery goes down, not up. We've tried using a Chinese cord into my computer, the original charger and cord supplied by Samsung and using the original Samsung cord in my iPhone charger. Any ideas on why it is being like this and how we can fix it?

It may be two things. It is probably a bad battery. You could try out a friend's if they have the same phone. Or go into your cell phone provider's retail store and see if they can test with a new battery. You could also try replacing the battery. It would be good to buy from a place that has a return policy just in case you are still encountering the same problem. I get my cell phone batteries online here http://www.batteries4less.com. It could also be a faulty port… Maybe it got damaged when your screen was broken? Not sure if that makes sense though since you say it charges with the phone off.