Combine remaining 1 tablespoon olive oil, lemon juice, aged balsamic vinegar, honey, and salt in a large bowl; stir well with a whisk. Add greens; toss gently to coat. Arrange about 1 1/2 cups arugula mixture onto each of 4 plates; top each serving with 3 ounces steak, about 1/2 cup plums, and 1 tablespoon cheese.