Spinach Radicchio and Cabbage Salad with Chicken

1 Tbsp goat cheese (chevre)
3 Tbsp balsamic vinegar
1/4 cup olive oil
1/2 teaspoon raw sugar
1/2 teaspoon sea salt
1/4 teaspoon pepper

1/2 red pepper
handful of sugar snap peas
1 chicken breast
radicchio
cabbage
baby spinach