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You will also need drywall screws or nails, mixing tools, taping knives, and sanding tools. Drywall saw. These are designed to rip through the paper face and gypsum core of drywall. The one shown here is a drywall utility saw.
You have lots of trees around, but aren't sure how to make what you need. Since you already had packed (in the bug out kit) tools that don't need electricity, you have a spoke shave, drawknife, and a brace/bit set, hand saw, hammer, etc. You may or may not have the plans for some primitive furniture.