OK....

First off, unless you are in cougar or bear country, right now, you don't need a firearm. Even then, you usually don't need a firearm. Don't get stupid and bears will leave you alone. Cougars are usually cowards unless you've got one that has developed a taste for manflesh, in which case a .22 isn't going to do much.

Second off, do you know what you are doing with an axe? Take a saw- yes, that to can take your foot off, but you REALLY have to work with it. Given the lack of experince you've implied, that a serious safety issue.

Do you know how to build a fire? Have you built a camp fire before? Are you or your friends boy scouts? It would really help. Becuase in all honesty, I'm not feeling any experience here.

Fire, firearms and axes are all very valuable tools, but in the hands of someone without any knowledge, all three of them can kill and maim very quickly. I would feel much more confident about this little exercise if I knew what degree of woodscraft you had in your background.

As for eating plants, don't. Not unless you KNOW how to identify them, and that's something that we generally don't discuss here becuase it is too easy to screw it up and would should have been an interesting night out turns into a medical emergency. You're out one night, being hungry won't kill you that quickly.

Doing something you've seen on TV, without doing serious research and practicing it under reasonable conditions first, is a good way win a Darwin Award. And they stopped paying the finders fee/bounty, so please, practice shelter building in your backyards first. That will get you through most one nighters.