The bar that Diaz meets Cartier is called "Hogan's Alley Bar". Hogan's Alley is a historical district in Vancouver (where Arrow is shot) . A largely Afro-Canadian area, it is most famously where a young Jimi Hendrix played at his grandparents' restaurant.
When Diaz and Laurel go to visit Cartier, they meet in Blüdhaven, which, in the comics, was the city Dick Grayson protected as Nightwing.
Although the episode has some awesome fight scenes, it's essentially a physiological study of Díaz and his backstory.
For the fight scene ending at 13:37, Diaz' gun fires an extraordinary quantity of bullets without reloading.