Congratulations! You will get a new Battery based on what Nissan has been doing! Tell them that you qualify for the warranty because you qualify for the (capacity warranty) at 8 capacity bars showing on the instrumentation on the dash. The service tech that you worked with does not know what they are doing. It is normally very easy without having to call customer service. Hope you got a good deal! The car can be like new once the battery is changed out.
*2011 Leaf 1 bought 2/28/15 @ 28,000ish mi 10 bar (8 bars @ 11/25/15 @ 37,453 ) (New lizard @ 39,275 mi @ 1/20/2016) Now 52,166 mi.
*Tesla Model S 61,000 mi
*2011 Leaf 2 bought 4/28/15 @ 24,000ish mi 12 bar (new lizard Dec. 2014 @ 22,273 mi) Now 35,485 mi