Tree Phobia
I am only aware of a phobia concerning trees in general; it is called Dendrophobia.
Catapedophobia
Such a person is usually called a 'coward'.
Because they are afraid of getting hurt.
Most trees which are trees are trees, also when they're not. Sometimes a tree which is actually a tree but a tree afraid to admit he is a tree is called a busheee.
No, this is your life. You can do what you want with it. Dont make someone think your someone else.
Paranoia.
Trees have bark for protection. If the bark were to be torn off then, the tree would die faster and be prone to termites.
When someone calls you "yellow", they are saying that you are afraid, craven, cowardly, etc.
Fear of travel: An irrational and unreasonable fear of travel is called agoraphobia.
A Lumberjack, if the person is cutting down trees they are called tree fellers
Some people are afraid of the sight of blood. This is called hemophobia. The symptoms listed in the question are all typical reactions when someone is afraid or panicking.