Genetic Dry Fly

This is going to be a little long, but I would appreciate any help on these topics anyone can offer. So, thank you in advance.
A little background: I've had my Boston for 5 days now. She was flown to me by a breeder in the Midwest. I took her to the Vet and she's perfectly healthy except a little parasite in her tummy which they prescribed Flagyl for. She's doing well on it.
I do have a few concerns though in general, and not sure if they should even be concerns or if they are just genetic traits of the dog.
She has this cough that almost sounds like gagging. She starts to cough a bit and then opens her mouth in a gagging way and then stops. She never pukes or anything though. She obviously snorts and makes cute little noises, but it's the coughing thing that I think may be odd. But I may be wrong. She also has very dry skin and dander, and I think it makes her uncomfortable. I've given her a bath, and used conditioner.
Any advice would be great!