Lavash Pizzas with Arugula and Eggplant

Name: Lavash Pizzas with Arugula and Eggplant
Ingredients: 1 1 1/2-lb. eggplant, peeled, cut into 1/2' cubes (about 3 cups); 1 teaspoon sea salt plus more for seasoning; 2 tablespoons extra-virgin olive oil, divided, plus more for brushing; Freshly ground pepper; 4 8' squares soft whole wheat lavash; 1 cup small cherry tomatoes, halved; 1/2 cup chopped scallions; 1/2 cup coarsely grated mozzarella; 1/4 cup finely grated Parmesan; 1 tablespoon chopped fresh oregano; 1 teaspoon crushed red pepper flakes; 8 cups arugula; 1 tablespoon fresh lemon juice