I don't carry a stove, and I own several. Summer is a great time to just pick up fresh food in any stores you pass, if you will have acess. For the most part the nutritional value of food is actually reduced with a stove. So at the very least, I wouldn't sweat not having one. I know a lot of people say they can't do without coffee or something, but I find touring is a sufficiently disruptive change in my pattern, that I can really start or stop just about any habit.
I would also toss the axe, I don't even carry those in the wilderness, canoeing and such. I own many since I use them regularly for woodworking. There is a lot of stuff that just isn't necesarry.