12 ounces fettuccine or penne
3 ounces pancetta or bacon, chopped
1 1/4 pounds asparagus, trimmed, cut on diagonal into 1-inch pieces
2 cups shelled fresh green peas, blanched 1 minute in boiling water, drained, or frozen peas (do not thaw)
1 bunch green onions, thinly sliced, white and pale green parts separated from dark green parts
2 garlic cloves, pressed
1/2 cup finely grated Parmesan cheese plus additional for serving
1/3 cup heavy whipping cream
3 tablespoons extra-virgin olive oil
3 tablespoons fresh lemon juice
1 tablespoon finely grated lemon peel
1/4 cup chopped fresh Italian parsley, divided
1/4 cup thinly sliced fresh basil, divided