Bring a large pot of salted water to a boil. Add the pasta to the water and boil until al dente. Add the peas to the boiling water and pasta and blanch them for 2 minutes. Strain the pasta and peas and rinse them with cold water. Transfer to a large bowl.
Add the tomatoes, onion, carrots, cheese, dill, tarragon, chives, salt, and pepper to the pasta and toss until combined.
Prepare the hummus dressing. Add the hummus, honey, lemon juice, red wine vinegar, apple cider vinegar, tarragon, chives, salt, and pepper to a small bowl and whisk to combine. Continue to whisk the ingredients and drizzle the olive oil into the bowl until combined.
Pour the dressing over the pasta salad and stir until the pasta is coated in dressing. Salt to taste and serve immediately or refrigerate to serve cold.