Think of your eel for a minute. He probably isn't that old. He was either caught from the wild or lived in a pool with other baby eels. Then he was shipped to your pet store. Then sent to your home.
He is probably afraid that he is going to be moved somewhere else, or those big hand monsters will grab him. Of course he is shy and the more you poke and prod and mess with him, they more shy he will be.
Leave him alone for a few days. Put some blood worms in your tank and leave them there. With a sand substrate if they aren't eaten right away they will bury their bottoms in the sand with their heads sticking out. When your eel is hungry he will eat them.
Don't worry about seeing him eat. He isn't going to starve to death in a couple of days. Once he feels safe then just put your hand in the tank and let it stay there. Don't make any gestures it would consider threatening. Just be patient.
Try to remember your first day at a new school. You looked for kids that were familiar or you tried to blend into the group. You didn't want to attract the attention of the bullies, you didn't even know who they were.
Do you see what I mean? Be patient.