In my area, there are several places that will do a free "load test" on a battery. One of them is a parts store (AutoZone) and another is AAA - roadside service (but that's when you have a battery problem *right now*).
Do you have a voltmeter available? If so, you might want to check the batt voltage every morning before you leave (or turn on the car), and track it (the history). Just remember that these rolling computers get activated/woken up by weird things sometimes (like simply opening the driver's door), causing an increased load on the acc battery. So... pop the hood *when you get home*, so that you don't have to open the door in the morning.
To keep a log of you bat voltage :
- you want to test voltage with battery *at rest*, and at rest for at least 20 minutes (longer is better)
- pop hood the night before
- check bat voltage before doing anything to car (so no load on batt)
- check batt voltage even if you don't drive it that day (to see what a day or two or three of not driving does to voltage)
- for curiosity sake, write down the mileage every morning before leaving
(The last bit is because the LEAF would keep a 12V better charged if it was driven longer periods - the 13V charge sent to the acc battery was on longer, basically, maintaining a higher voltage in the battery).
12.65V is absolutely, really fully charged (just charged, no use or drain, sitting) although 12.6V is basically fully charged. If your batt is often at or below 12.45V, your car isn't keeping it properly charged (or it is defective/on its way out - or it has been sitting for a long while).
Lastly, just because the batt voltage is fairly high doesn't mean the battery is OK and can provide current for a long time. It really should be load-tested. Get one done for free if you can, and try and get a paper from the place that did it so that you can show the dealer.
Good luck.