Make the Honey Mustard Sauce: In a small bowl, whisk together the honey, yellow mustard, Dijon mustard, ½ teaspoon salt, and ¼ teaspoon black pepper until smooth.
Cook the Chicken: Add the chicken to a 5- or 6-quart slow cooker. Pour over half the sauce, tossing the chicken to coat evenly. Set the remaining sauce aside, covered. You will add it at the end.
Cover and cook on high for 2-3 hours, or low for 3-6, or until the chicken is cooked through and tender when pierced with a fork. See notes for timing suggestions.
Remove from the slow cooker and dice or shred with two forks. Add back to the slow cooker with the cooking liquid. Pour over the reserved honey mustard sauce, tossing to coat.
Make the Salad: While the chicken cooks, in a large bowl, combine the mayonnaise, lime juice, and ½ teaspoon salt, and whisk until smooth. Add the corn, edamame, feta, parsley, and green onions. Stir to combine.
Assemble the Bowls: Serve the chicken along with the corn edamame salad on the side, and with steamed rice, if that's your thing.