In a large pot, bring the water to a boil. Stir in 1 tablespoon of salt until dissolved.
Cook the pasta until it's soft but not mushy, about 12 to 14 minutes.
Drain and let it cool.
Drain the pasta into a colander and rinse with cold water until cool, about 1 minute.
Shake to drain excess water, then add the pasta to a large bowl.
Stir in the carrots, celery, onion, relish, rice vinegar, honey, ¾ teaspoon salt, and black pepper.
Allow the mixture to sit for 5 minutes for the flavors to intermingle.
Stir in the mayonnaise until everything is well combined.
Cover the salad and refrigerate until ready to serve.
The dressing will thicken as it chills.
Stir the salad before serving and season with additional salt and pepper to taste if needed.