In a small saucepan, combine all ingredients for Asian BBQ sauce, plum preserves through black pepper. Cook over medium heat until it simmers lightly and dissolves the sugar. Reduce heat to low and cook for a few more minutes. Remove the pan from the heat and let the sauce cool to room temperature.
Mix half the Asian BBQ sauce together with the prepared chicken. Cover and refrigerate for at least 45 minutes to marinate (can marinate longer or even overnight, if you’d prefer).
While the chicken is marinating, rinse rice, then pour into medium pot with water and salt. Cover, bring to boil, reduce to simmer for 30-40 minutes or until rice is cooked completely.
At least 30 minutes prior to grilling, soak wooden or bamboo skewers in water. This helps prevent them from catching fire. Soaking overnight is best, if you plan ahead, and the water temperature doesn't matter. If using stainless steel skewers, there is no need to soak.
When the chicken has marinated and the skewers have soaked, thread the chicken onto the skewers.
Heat grill over medium-high heat (350-400 degrees F) and oil the grill grates (to do to this, dip a wadded paper towel in a little oil and, using tongs, wipe the oil evenly over the grate. Be careful not to use too much oil, because that's a sure fire way to start a good flare-up—a little goes a long way here.)
When the grill is hot, place the skewers on the grill and cook on the first side for 3 to 4 minutes, or until nice grill marks have formed. Flip and grill 3-4 more minutes. Keep the grill lid closed as much as possible as you are cooking the chicken.
Remove from the heat, when chicken is 160ºF, then let it rest for 5 minutes before serving. It will continue to cook while resting. Baste chicken with remaining BBQ sauce, and serve over brown rice and/or any other sides you'd like.