Stupidity: Max loaded his backpack with food and supplies he thought/knew he would need searching for his father in the woods. Before he was out of the backyard, his slightly older sister said she was going, too. Max didn't tell her to get her own food, etc. to bring. Surely he would know that he would have to share his food and run out. Also, when the backpack full of supplies fell into the river, instead of at least trying to see if they could retrieve it, Max just immediately dismissed it as "lost."
Stupidity: Royce, blinded in Afghanistan, managed to avoid serious injury when the boat finally hit land. Having no real idea where he was, he foolishly decided to get off the boat and try venturing through unknown woods with the dog Chinook as a guide (!) This was simply absurd! Even though rescue missions were delayed that day by the storm, he should have had enough sense to know his chances of being found/rescued (and being safe in the meantime) would be the greatest by staying in the boat.