Copper is not alcohol soluble, verdigris is alcohol soluble. Verdigris isn't copper oxide (ie copper 'rust'). It's either copper chloride/sulfide/sulfate/carbonate (at least a couple of those, I can't specifically remember off the top of my head). Rust (iron oxide) is the chemical reaction between iron & oxygen, therefore iron in open air rusts. Since water also contains oxygen, wet iron also rusts & at a faster pace because of a concentrated contact area. Copper oxide is a darkening of copper, much like aluminum - copper & aluminum 'rust' is brown & black respectively. Those are not toxic. Verdigris is green & blue, copper reacting with other things in the environment, commonly acetic acid. I recall that the process can also be sped up by other compounds in the air, but again, this is off the top of my head & I'm not remembering precisely which. It happens rapidly near the ocean (which is why Lady Liberty went green so quickly & was expected to).
Having a copper sink, plates or cups isn't a problem. Unless you don't take care of them & verdigris begins to form... then you'd have a problem. Even then drinking plain water out of a green cup wouldn't be all that risky (but I sure wouldn't advise it). Drinking a very weak beer (1-2% ABV) will likely make you very, very ill. It could possibly kill you.
Regarding brass, as far as I know, cannot form verdigris due to the make up. Yes, it contains copper, but that copper is altered when it's formed into the brass. There's 2 types of brass, red & yellow. Yellow brass does not contain lead. Red brass contains 3-5% lead (if memory serves). You can easily clean red brass & eliminate the surface lead with a vinegar water solution. Non-surface lead is not an issue.