I'm going to use the Wiki's information to answer your question.
FOR YOUR WAND
"It had been generally observed that the hawthorn wand seemed most at home with a conflicted nature, or with a witch/wizard passing through a period of turmoil."
"hawthorn was not easy to master and should only ever be placed in the hands of a witch/wizard of proven talent"
FOR YOUR PATRONUS
for the meaning behind your Patronus, I referred to this site to get:
"Mares are associated with a gentleness and a connection to the spiritual. Black horses are quite independent and mysterious with a certain allure to them"