The general public can't infringe a trademark unless they're selling a competing product ;) Interestingly, Aspirin becoming a generic term in many countries was more of a result of WW1 as the allied powers seized various things from German companies (like Bayer) for war reparations, including intellectual property like trademarks. It was technically purchased by an American company for use in the US after the war, but I guess they didn't defend the mark very well and it quickly fell into genericism.
I'm not sure - trademark law is tricky - "The Container Store" is trademarked (and while you might say "App Store" is too generic, but I don't recall the term existing prior to "The App Store", so this might be a "Hoover" or similar situation).
I remember McDonald's used[?] to have "All Beef" as a trademark for their burger patties (I also recall them getting in trouble in NZ as just because they're "All Beef" brand doesn't mean you can advertise them as "All Beef Patties" in a way that is clearly intended to imply they're "all beef")
App Store is not the same case as Hoover because the name is a literal description of what it is. It’s like a coffee producer trademarking the name Coffee.