1) The speed feels pretty good, and so does the jump. But the jump has you going very high compared to the height of the trees. It was helpful in traversing the hills in the area though.
2) It feels a little cluttered, and running through the forest it's kind of hard to see where you are going.
3) The throwing looks correct, and I didn't have problems aiming. I did have problems figuring out which buttons would let you interact with the logs though.
4) A night counter and fire meter sound good. I would also suggest a health bar for your character.
5) Feedback when you attack a bear would be good, and of course an indicator to show whether the log you've thrown at the fire has helped at all.