Lithium ion batteries should be kept at 50% charge for long term storage and it's possibly your battery had permanent damage if the voltage went too low - or into deep discharge state. Ideally, you would charge the battery up to 50% once every 6 months to avoid this (which isn't helpful news now that it's been 2 years for yours).
The good news is Apple warrants batteries for 1 year from purchase and 3 years with AppleCare and occasionally will cover a battery even out of warranty.
I would seek service, but you might have to pay for the repair if it's outside the time window for Apple to cover the cost. They can check on AppleCare or any other special circumstances and offer you more detailed advice on the cost for your repair if that's needed.
You've done all the things I would check:
- one reset of SMC
- charge for a day, try to run off charge and then charge for a second day
- check the System Profiler / System Information to see the cycle count / full charge capacity and condition details
The next step is official service for a diagnosis and repair quote.
Here are the relevant parts of Apple's battery page on maximizing perfoance:
- Do not fully charge or fully discharge your device’s battery — charge it to around 50%. If you store a device when its battery is
fully discharged, the battery could fall into a deep discharge state,
which renders it incapable of holding a charge. Conversely, if you
store it fully charged for an extended period of time, the battery may
lose some capacity, leading to shorter battery life.
- If you plan to store your device for longer than six months, charge it to 50% every six months.