Bring water to a boil. Cook the pasta with the peas for 10 minutes.
Prep the veggies. Peel and finely dice the carrots. Cut the cherry tomatoes and bell pepper into very small pieces. Drain the corn. Finely chop the pickles, parsley, and dill.
Rinse the pasta under cold water to help it cool down more quickly.
Make the dressing. Add the soy yogurt, mayonnaise, mustard, pickle juice, paprika, onion powder, garlic powder, and salt to a small jar and stir to combine.
Combine. Add the cooled pasta and peas to a bowl with carrots, cherry tomatoes, corn, pickles, dill, and parsley. Toss to combine.