Okay I'm not touching the battery issue, other than to state I always use IMR batteries, I even accidentally ordered the wrong battery (too high for me, in fact) and they were happy to refund my order and allow me to re-purchase. They were super nice about it, too.
I did want to mention the coughing issue? If you are vaping at *100 watts* and 12 nic on a DL device, I'm not surprised you are having coughing fits, I'm surprised you aren't coughing your lungs straight onto the floor before you.
I too started vaping this time on a DL device at 12 nic, thinking I would work well... It didn't. I was only vaping at 40 watts, too, but it was just too much for my smoker's throat and lungs. I coughed like crazy, thinking it was just nic withdrawal, someone kindly on the forum pointed out it was probably nic overload, if anything. With the wattage you are using, you really need to start at 6 mg and also slowly work your way UP to a comfortable vape for you. It may be less watts than you think you "need" and often we think that it's imperative to go by the recommended wattage on the coil, which may be high. I think you may be over nicotizing yourself, possibly.
You might want to check out a good MTL tank as well, as some people find being able to vape higher nic (I use 18 mg in mine) can be helpful with cravings without blowing your head off (figuratively, unlike a venting battery issue). It's just at thought. But the coughing fits should be paid attention to, that's not normal.
I think you MAY have gotten rewraps. It's not unusual for vape stores though if you think about it, it's idiocy, why sell a user a product that at best won't function well and at worst will injure/scare a customer! I need my hands to operate the fire button! That said, you can replace them fairly easily.
Good luck! And happy vaping (and less arguing?)
Anna