In a large saucepan, combine the rice, 4 cups of water, and 1 1/2 teaspoons of the salt. Cover and bring to a boil. Reduce heat and simmer until all the water is absorbed, about 15 minutes. Remove from heat and let sit, covered, for 10 minutes.
Meanwhile, in a small bowl, combine the parsley, chives, and dill. Reserve 1/3 of the herb mixture in an airtight container in the refrigerator for another use. Combine the rest of the herb mixture with the lemon zest and set aside.
Heat broiler. Coat the salmon fillets with the oil and season with the black pepper and the remaining salt. Broil 10 to 12 minutes, until just cooked through. Reserve 2 fillets for another use. Fluff the rice with a fork and reserve half (about 4 cups) for another use. Mix the ginger and scallions with the remaining rice. Top each salmon fillet with the fresh-herb mixture and serve with the rice.
Tip: Salmon fillets don't need to be turned to cook through. Broil 10 minutes for each inch of thickness.