This image I found online some time ago suits the book’s concepts nicely. Though not everything applies.
It appears to have been created by Ben Brode.
Druid, yet Warlock doesn’t talk with animals directly save for a couple of anthros.
Hunter, yes he tries to be one when he is alone.
Mage is a good word instead of wizard.
He is not religious, so paladin and priest might not work.
And in his quest he rebels against the status quo, which could make him a rogue.
Definitely a shaman, and warlock. Not so much a warrior, unless you count his tenacity towards finding peace for the world.
Future books of the series will focus more on the shaman aspect.