SMC reset to fix battery not working, but cant be sure SMC reset has taken place
It's quite possible you have a defective battery, bad cable or power handling chip issue on the logic board itself.  From the output you posted, here's what we know.


81 cycles and FCC of 3918 mAh is way out of specification
The Voltage and charge measurement that you have 234 mAh (mili-amp hours) remaining
It's showing a draw of approximately 2.5A (battery is being drained)


The SMC can only accumulate how much battery capacity is left by measuring the current power against the current draw and known full capacity.  In this case, it's measuring that you're out of power and indicating your battery needs to be serviced.

There's no "dipstick" that can give you the actual charge, the SMC must calculate it and from the data it's getting from the battery, it thinks it's failing even though it continues to work.

Your best bet is to replace the battery (it's probably still under warranty) and still more likely to be the cause if you were careful with the cables and reseated them.