1. Combine first 8 ingredients (through ginger) in a large bowl. Add chicken thighs; toss to coat. Cover and chill at least 4 hours.
2. Combine tomato and next 4 ingredients (through cilantro) in a medium bowl. Combine juice, olive oil, and 1/2 teaspoon salt. Pour juice mixture over beet mixture, and toss to coat. Cover and chill at least 2 hours.
3. Heat a grill pan over high heat. Coat pan with cooking spray. Remove chicken from marinade, and discard marinade. Sprinkle chicken evenly with remaining 1/2 teaspoon salt. Add half of the chicken to pan; cook chicken 4 minutes on each side or until done. Repeat procedure with the remaining chicken. Serve with salad.