First Blood - S1-E1
Factual error: While at the lodge of the safari camp, they find lion tracks. However, there are distinct nail imprints in the tracks. Lions have retractable claws and do not leave nail prints when walking.
The Silence of the Cicadas - S1-E3
Factual error: The station at the Arctic would have storage batteries to retain a charge for when storms obscure the solar panels, yet, once the bats cover the panels, they lose electricity.
Suggested correction: The power drops out but later on in the episode they have backup power. The problem is that the bat that gets into the base then takes out the backup power.
Eats, Shoots and Leaves - S1-E11
Factual error: They travel to Zambia along the Luangwa to search for leopards and the locals speak Swahili. In that region of Zambia they speak Nyanja or Bemba. I lived in Northerm Zambia for a few years and all the way up to the Tanzania border it was not common for anyone to know Swahili.
Wild Things - S1-E12
Factual error: When they arrive at the hospital after Jackson is shot, they show alligators attacking people. Alligators are not native to Africa. Crocodiles would make much more sense, but I would assume either budget or behavioural differences prevented their use.