Doug doesn't stay wet long after his swim in the lake to retrieve the canoe.
The under-eye paint Doug has on in the rest of the episode looks nothing like the way he initially applied it.
When Doug tears off the sleeves of his shirt during his fight to survive in wilderness you can see that they are perforated to make tearing them apart easier.
When they sitting on the log after getting stranded on the island you can see the roof of a house.
In the diner, Carrie orders an egg white omelet. In the next shot, the waitress brings her a plate of what are clearly scrambled eggs.