Sand Saref blatantly using her real name at a place where she is about to commit grand larceny and coax a person to kill himself would be nonsensical enough for a master thief of her experience, but it is even worse because she purposely leaves a witness alive (the secretary).
The soles of The Spirit's signature Converse-style shoes switch back and forth between black and white. This is intentional and matches how Frank Miller would draw the shoes. When the bottoms are featured, they are white. Otherwise the shoes are black on black.
The Octopus and Silken Floss worry that if the Spirit gains possession of the Heracles vase and drinks the contents, he would become a god. The Spirit doesn't even know of the existence of the crate holding the vase, the vase, or the vase's contents. Furthermore, even if he did, there is no indication at any point in the film that he would want to drink blood out of the thing.
Despite the presence of probably over a hundred police, SWAT members and helicopter pilots who all just opened fire on him literally a minute earlier, the Octopus still grabs the vase with the blood in it out in the middle of all of these people, and somehow no one but Sand Saref apparently sees him do this.