Dude, whatever you do, make sure you have one back up way of contacting civilization, like a satellite phone or something, theres way to many stories of people just deciding to piss off into the wilderness, only have their emaciated corpses found a few months later by hikers. If you break a leg, far from help and with no way of communications, your fucked, simply put. Remember that dude that got his hand trapped in the rock and had to slice it off so he could crawl to rescue? That could be you. Satellite phones are a bit expensive, big too, but I'm sure you can think of some way of contacting help, should it be needed, like a radio, or a pimped up mobile phone. Anyway, it sounds damn hardcore what you want to do, but please make sure you have a way of contacting home. I know it sort of takes the magic off the whole experience, but better that than winding up dead. Anyway, good luck to ya!
PS couldn't you consolidate the pistol and air rifle into a small caliber rifle like a 22? Optimally you would bring a survival rifle, a proper rifle that can also be folded up into its stock when you are in civilized areas. Sure would save weight on bringing 2 weapons plus respective cleaning kits etc.