wings for his speed.
a wand
Actually, Hermes didn't carry a wand. He carried a caduceus, which is a staff that has two snakes intertwined on it.
Nothing.
Hermes is typically portrayed as wearing winged sandals and a winged hat, symbolizing his speed and agility. He is often depicted carrying a caduceus, a staff with two snakes wrapped around it, representing his role as a messenger of the gods and his association with healing. Additionally, Hermes is known for his cunning and trickery.
Turns object's to gold
Hermes has a staff and a wand.
Apollo desired the flute, so Hermes bartered with Apollo and received his golden wand which Hermes later used as his heralds staff. (In other versions Zeus gave Hermes his heralds staff). (cite from http://www.pantheon.org/articles/h/hermes.html)
It used to be a heralds wand; and Hermes was the god of heralds - being the herald and messenger of Zeus.
No. Hermes is the son of Zeus, god King of the Sky. He is a god. He could fly without the hat. Hermes' hat has nothing to do with his flight. It's his shoes. And He's the messenger god. Emphasis on the word God. The hat doesn't matter.
With his wand, he can put the waking to sleep or awaken the sleeping. For example, when Hermes put to sleep the many eyes of Argos. And then he basically bored poor Argus to death and his eyes are now the ones of the peacock.
His winged hat showed that he could move with speed.
I'm not sure about that question but no offense can you at least see the movie?