If you are already bringing a pot, you can probably save some weight by repackinging your dehydrated meals in Ziploc's and cooking them in the pot. I never cook in the pouch as it's too hard to clean out and take home with me. The foil won't burn well in a fire and kind of leaves a mess. I keep my baggies because I'm cheap and reuse them.

I'd take all 8 packets of gatorade and put them in one bag to save weight. You might do something similar for the Ramen noodles and instant oatmeal.

I notice your diet is almost completely lacking in Potassium. There is a small amount in the Gatorade, but you need from 2700 to 4000 mg of potassium a day. This may leave you feeling fatigued. A cup of dehydrated bananas (100g)a day will get you in the low end. Dehydrated apricots work well, too. But they are lower calorie.

Keep in mind, you don't have 13 pounds of food. You have 13 pounds of food and packaging. Subtract out the packaging and you have somewhat less. I'd guess you have about 2,700 calories a day. That may not be enough for 7 days depending on your weight and activity. Your friends might start to look pretty tasty after the third or fourth day.

Consult this website for when that starts to happen.