+1 on losing the axe and the cooler.
Laundry detergent? What are you going to be washing during such a relatively short trip? We just got back from 9 days of riding in Montana. Washed the bilke clothes in showers (and once in a river) with Camp Suds, which you can do dishes, wash your body and even brush your teeth with. (Don't take the enitre bottle. Put what you think you will need a small, plastic bottle.) Didn't wash the off-bike stuff.
+1 on the cooking stuff noted directly above if you like to prepare elaborate meals.
No short pants? What if you get a warm fall day? Suggest a pair of convertible pants. The kind with the legs that zip off. Kill two birds with one stone.
If you will using potentially skeevy showers, a cheap-o pair of flip flops come in handy and weigh next to nothing. Strap them under the bungees that hold your tent to the rack.
+1 on the Cat's Meow. Worked great on my recent tour. TR ProLite 3 (or whatever the modern equivalent is these days) is also nice.