Honestly, I'm too far removed from the culture in Iran to nail the second part, but I'm a big fan of the drinks at Cafe Aunja in Montreal, and Komaaj in San Francisco is wonderful too.
Sour cherry sharbat is very easy to do at home, too. You just need a bottle of sour cherry syrup (sadaf, golchin, and marco polo are all solid brands in the US). Pour a tablespoon or two into an empty glass, add water or seltzer on top, add ice, mix it all up with a spoon, and you're good to go.
Persian coffee shops in Australia go all in, there are several in Perth (Western Australia) and Melbourne (Victoria) run by Iranian born families .. and Melbourne coffee culture is arguably the bougiest on the planet, certainly rivalling L.A. and easily outshining the pretensions of Sydney ( https://www.youtube.com/watch?v=XCYK6-RTRsc )
Sour cherry sharbat is very easy to do at home, too. You just need a bottle of sour cherry syrup (sadaf, golchin, and marco polo are all solid brands in the US). Pour a tablespoon or two into an empty glass, add water or seltzer on top, add ice, mix it all up with a spoon, and you're good to go.