Combine lime juice, fish sauce, brown sugar, sesame oil, garlic, and red chili in a small jar and shake well to mix. Set aside.
Cook the noodles per the package directions, drain, rinse with cold water, and toss with a tablespoon or two of the dressing.
Season the shrimp with salt and pepper. Heat olive oil in a large skillet over medium-high heat. Cook the shrimp for about 2 minutes per side.
Build the salads by arranging the noodles, cabbage, cucumbers, carrots, bean sprouts, mint and basil leaves in sections on two plates or in shallow bowls. Drizzle with a little of the dressing, serving the rest on the side. Top with the cashews.