I second the person that suggested going to the vet. If it's something serious they can find out and hopefully catch it early, if it's a PG/VG/Flavoring/Nicotine allergy... Well, then you know what you've got to do.
Both my dogs are fine with the vaping, but my brown one hated my tobacco smoking and every time that I'd light up a cigarette he would run out of the room that I was in and head for the bedroom (as I never smoked in the bedroom) and once I was done, he'd come back out until I lit up another one. He was the one that pushed me to quit as he seemed so miserable having to run and hide everytime that I'd light up. He's fine with vaping though, doesn't even bat an eye and will lay right next to me on the sofa or at my feet while I'm vaping.
Some other things you need to be aware of that are not good for dogs...onions, apples(the core and seeds), plums(the pits), raw potatoes(cooked are fine), of course bones(uncooked are fine but cooked bones no matter what kind are not good for dogs), nuts (poisonous), and garlic. However, some say garlic isn't harmful to dogs. Garlic actually helps stay off fleas. I, myself, do not go out of my way to feed my dog garlic but I do not avoid it either.
I didn't know that about apples, although I don't eat them very often I do tend to give the core to one of my dogs that will eat it (the other one won't touch it), as to the garlic.... yean I've heard it's harmful to dogs, however if you look at many mainstream commercial dog kibble, garlic is one of the ingredients. We still refrain from giving them anything that we've added garlic to like chicken parmesan since we cook the chicken with chopped garlic before baking it.
Didn't hear that about the raw potatoes either, guess she won't be getting anymore of that, not that she got that much to begin with but still if it's bad then it's now offlimits too like anything cooked with onions in our house.