Composed Mediterranean Chicken Salad

Name: Composed Mediterranean Chicken Salad
Ingredients: 1/2 cup plus 6 tablespoons extra-virgin olive oil; 1/4 cup red wine vinegar; 1/4 cup loosely-packed fresh flat-leaf parsley leaves; 2 cloves garlic, finely grated; Kosher salt and freshly ground pepper; 4 chicken thighs (about 1 1/4 pounds); 1/2 lemon, juiced (about 1 tablespoon); 1 medium eggplant, cut into 1/4-inch thick rounds; 8 ounces haloumi cheese, sliced 1/4-inch thick; 1 head romaine, chopped; 3 Persian cucumbers, halved lengthwise, then cut crosswise into 1/2-inch semi-circles; 1 cup jarred roasted red peppers, cut into thin strips (about 7 ounces)