I chose similarly but changed somethings for longevity.
I subbed out the jeep for body armor. The jeep will run out of gas eventually, who knows how long the apocalypse will last for. Body armor will be last near indefinitely. Also would swap out the ak for a machete. Ammo will probably be hoarded by others so will be a difficult find.
Fire axe is a great utility tool, once it becomes dull, it'll be a good blunt weapon. Machete will not be as good but if you learn how to sharpen or find a whetstone, they'll last you as long as you need.
Most body armor is good for 1 strike. Kevlar thread break, ceramic breaks, and you really don't want to use dented armor, best case it's a weak point, worst case is pushing in your chest cavity preventing you from breathing. Any body armor that is remotely mobile is effectively one time use.
Now admitted (normally) used body armor can still provide some protection and can be better than nothing (except in situations where the damage impacts you, ie the plate metal being dented and pushing into your chest). And some can be repaired or replaced with the right materials and tools, but those are heavy, and take space
Going with all but the water purifier. Fresh water is too easy to come by where I live. We have pristine wild rivers here, and it rains a lot. I'd be living in the forest anyway if this happened.