The Loctite superglue in the bottle with the blue squeeze pieces are the best because you can put controlled amounts of glue on paper/foil to use for a period of time or put a small bit on the model (if you really insist).
Welcome to Armorama.
When I first started I used a spare tire. I do not recommend the “canned air.” It works fine but is probably not environmentally friendly.
For your airbrush AND your compressor, I wouldn’t even recommend a starter set. I’d get the ones you anticipate needing when your skills improve. Why spend money twice?
You wouldn’t get a .22 revolver knowing you want to end up shooting .357 Magnum.
Of course she may have had a good teacher.
But back to airbrushes - I suppose the Magnum would be some sort of double action, just like the revolver. Although I’ve seen people swear by them, I’ve never in all these years used or owned one. Perhaps I’m really missing out.
Depending upon where you are, a compressor might not be the right fit either. In extreme humidity I found that even with a water trap my airbrush would sometimes spit water. If you start with CO2 right from the beginning you’ll never have to worry about that. It may be a tad pricey to get set up at first, but after that it’s quite economical, and quiet to boot.