Yea that’ll do it. As Idaho mentioned, the damaged section of the wires will need to be cut out and the wires will need to be soldered back together. It’s critical that the solder penetrates the strands; it can’t just be on the surface of the wires or there will be high resistance. If your not skilled in wiring repair you may want to bring it to a shop to have them fix it. Also note that generic heat shrink tubing from an auto parts store can allow water to migrate into the joint; only use Ford/Motorcraft heat shrink tubing, which contains a glue that seals the ends of the tubing when heated.
Thanks, I appreciate all the help! Any advice on what fuses to check?