Preheat oven to 180°C. Brown rabbit pieces in 4 tbsp. of the oil in a large skillet over medium-high heat, turning frequently. Remove rabbit; pour off fat; lower heat to medium.
Add remaining 1 tbsp. oil and cook garlic, scallions, and all but a bit of the herbs for about 3 minutes. Deglaze skillet with wine and return rabbit to it. Place skillet in oven and cook uncovered till meat is firm, about 25 minutes. Serve garnished with remaining herbs.