Throw in a cheap, decent orienteering compass (or a military lensatic if you're ok with a little more bulk) as well. Then you have directional awareness as well as a fire starting magnifying lens. But as this story reinforces, and others have noted, the most important piece of survival gear is the right mental state.
And a good sense of when "Don't do this...too many things can go wrong" should warn you off. Heading into the deep woods at 4 pm in early May is not a good idea. He should have listened to the little voice saying "don't go."