No chef knives in the cooking section?
This will be fun to keep an eye on when your schedule permits.
I might have skipped either the drop cloth or the trash bags (or both) in favor of a $1 pot and $1 worth of ramen noodles, which would make a lot more hunger satisfying meals than one can of beans. But, different dollar stores sell different stuff so I can't really speculate as to what's available at your store.
I am sure with the combination of the saw and the knife you will have your cutting, construction and fire needs covered. Making a spoon with the serrated knife might be challenging though.
Also the green roll of jute twine might be treated with a fire retardant or a preservative and it might not burn as well as the two brown rolls if you use any for a tinder nest.
Looks like a fun experiment!