For the chicken:
3 garlic cloves, finely chopped
1 tablespoon ground cumin
1 tablespoon olive oil
1 tablespoon paprika
1/2 teaspoon freshly ground black pepper
1/2 teaspoon dried oregano
1 1/2 teaspoons kosher salt, divided
2 lemons
1 (4-4 1/2-pound) whole chicken
For the green sauce:
1 cup (packed) cilantro leaves with tender stems
1–2 medium jalapeños, coarsely chopped
1 garlic clove, finely chopped
1 tablespoon extra-virgin olive oil
2 1/2 teaspoons fresh lime juice
1/4 teaspoon kosher salt
1/3 cup mayonnaise
For the salad:
1 English hothouse or 2 Persian cucumbers, cubed
1 firm-ripe avocado, cubed
3 scallions, thinly sliced
1 tablespoon plus 1 teaspoon fresh lime juice
1 tablespoon extra-virgin olive oil
3/4 teaspoon kosher salt
1/2 cup cilantro leaves with tender stems, coarsely chopped, plus more for serving