My Note 2 was fine when I had it, bought it in December 2012 and sold off in April 2013. No problems with it except for the usual lag you face in Androids. Sorry to hear about yours, hopefully you find a good and cost effective solution:)
Email Samsung and ask them to refund you after the repairs. Writing an email won't hurt:)
Just keep a track of receipts etc.
Chinese state media is becoming quite the consumer advocate. Earlier this week, a bit on national TV berated Samsung over certain Galaxy S III and Note II handsets afflicted with the "sudden death" bug, as it has been called. While a firmware fix promised to cure some devices, the root cause appeared to be due to a dodgy flash memory module, leaving some models without hope of a true elixir. In response to the public scolding, Samsung has issued a statement thanking the broadcaster for its report, also noting that its repair and refund policies are in full compliance with Chinese laws. The company offers anyone that's paid for a repair while under warranty to hit them up for a refund, and has now extended the warranty of any potentially affected device made before November 30th 2012 for an extra 12 months.