Provide evidence that shows the determination and courage of Santiago.

I think one good example that shows courage and determination in Santiago occurs when he decides to tell his father that he wants to travel the world instead of staying home with the family.  It shows courage and determination, because Santiago knows that his father won't like the decision.  Regardless Santiago faces his father and has the conversation instead of just running away like a coward or not having the conversation at all.  

The rest of the story shows Santiago's courage frequently.  His journey toward obtaining his personal legend is not an easy one.  He is frequently swindled or attacked, and he is always wrestling with the idea of just turning around and going back home.  He knows that it is safe at home, but he determines to continue despite the hardship.  That's both determination and bravery.