I Have the same problem and my note is still under warranty. I sent the note 10.1 to samsung to be repaired only to receive a letter saying that (A Nova, an outsourced repair company) were looking ?47 to fix this. I explained that it was still under warranty and they said it was because the plastic cover was missing from the infrared at the top of the device(which wasnt missing missing when posted)
I explained that this wasn't missing when i had sent the device and that i wasnt paying the money for the part that they broke or damaged during shipping. I explained that i still wanted the battery issue fixed but they would not go ahead because the warranty was void due to the missing plastic. By this stage i was absolutely fuming and went back and forth between samsung and these thieves a novo but was getting nowhere, so i told them to send the device back and when i received it i noticed my 32gb sd card was missing...

I got onto the phone again to them and they informed me that it had to be destroyed under the data protection act, they said that i should have been informed by the samsung adviser(which i definitely wasnt, i also recently got married with alot of pictures and videos on the card) I will be phoning samsung tomorrow with a big complaint, can this be taken further as i am so mad at the way its been handled.
The battery issue developed after i upgrade from GB to ICS, since then the battery has been draining and draining to the point where i cant get it turned on. I have changed the cable, charger, and done a factory reset to no avail...has anyone got a solution to this mega rich companies pathetic fault?
I have been a samsung customer for a long time, TV, Phone, Laptop and tablet and i will never purchase another thing again from the company