I have similar problems with the 12" MacBook Pro (2016 model bought 2017). Mostly, I have problems with the 'n' and 'b' keys, which either skip or, if you press a bit harder, give double letters. I also get problems with the cursor jumping randomly to another part of the text while I am typing, for no apparent reason.
In addition, the new keyboard is very noisy. If, like me, you often work in a library or quiet study space, the clatter of the new keyboard is embarrassing, and trying to type quietly only make more letters skip.
Apple made a major mistake with this new keyboard! Contrary to the publicity, it is just cheap and nasty. When we spend £3,000 on a new laptop we deserve much better! I have had several Apples before, but never with such an unreliable keyboard.
I took it to the Apple Store genius bar and they showed me keyboard settings. Worth looking at, but does not solve the problem. They say they can do nothing and recommended that I buy a refurbished laptop with the old keyboard (but will not refund the one I have).
I hope there will be enough complaints that Apple will finally redesign the keyboard more like the old one and offer free retrofits to all of us who find ourselves downgraded.