Prepare the Salad Dressing: In a small bowl, whisk together the rice wine vinegar, lime juice, fish sauce, honey, and a pinch of salt until well combined. Set aside.
Make the Cucumber Salad: Place the sliced cucumbers and red onions in a large bowl. If you prefer less heat, remove the seeds from the red chili before slicing it; then add the sliced chili along with the cucumber and onion.
Pour the prepared dressing over the cucumber mixture and toss gently to combine ensuring the dressing evenly coats the cucumbers. Allow the salad to marinate at room temperature for about 10–15 minutes so that the flavors meld and the cucumbers soften slightly.
Just before serving, sprinkle the chopped cilantro and crushed peanuts over the salad, toss gently, and adjust the seasoning if needed by adding more salt, lime juice, or honey. (If not serving immediately, refrigerate until ready to serve.)
Make the Pad Thai: In a mixing bowl, whisk together the brown sugar, reduced-sodium soy sauce, rice wine vinegar, lime juice, and fish sauce; set aside.
Prepare the rice noodles according to the package directions.
While the noodles are cooking, heat the extra-virgin olive oil in a wok or sauté pan over medium-high heat. Add the chicken and sauté until cooked through about 6 minutes. (Cook to an internal temperature of 165°F (74°C).) Then transfer the chicken to a plate, leaving the oil in the pan.
Add the red bell pepper and carrots to the pan and sauté for 1–2 minutes. Next, add the garlic and scallions and continue to sauté for another minute.
Return the chicken to the pan along with the noodles and sauce; toss everything together and cook for an additional 1–2 minutes. (Again, ensure any chicken reaches an internal temperature of 165°F (74°C).)
Portion the Pad Thai onto plates and top with fresh cilantro, chopped peanuts, and lime wedges.
To Serve: Enjoy the Pad Thai alongside the Thai cucumber salad and a refreshing glass of kombucha.