Bring a large pot of water to a boil. Add the rotini pasta. Cook the pasta according to the package directions. Drain the pasta in a colander. Rinse the pasta under cold water.
Add the cooled pasta to a large mixing bowl. Pour the dill pickle juice over the pasta. Stir the pasta until coated. Let the pasta sit for 5 minutes.
In a small mixing bowl, add the Greek yogurt, light mayonnaise, Dijon mustard, fresh dill, garlic powder, onion powder, black pepper, and salt. Whisk the dressing until smooth.
Add the chopped pickles, celery, red onion, and cheddar cheese to the pasta. Pour the dressing over the pasta mixture. Stir until the pasta salad is evenly coated. Cover the bowl. Refrigerate for at least 30 minutes. Stir before serving.