Cook barley according to package directions to yield 3 cups cooked. Chop kiwi, rinse blueberries and raspberries, and slice strawberries.
Combine and chill first 7 ingredients (through pecans) for 1 hour.
For the dressing: In a sealable container, combine olive oil, crushed garlic, ground mustard, salt, pepper, and 1-2 teaspoons each of lemon and lime juices (to desired taste). Refrigerate until ready to eat.
To serve: Mix dressing together with chilled salad mixture. Place barley salad on a bed of fresh baby spinach in each serving dish.