Pesto Chicken and Parmesan Noodles

Here's a quick and tasty summer meal.
*1 lb. angel hair pasta
*2 carrots, peeled and sliced in small disks
*3 TBSP. salted butter, divided
*1/2 of a rotisserie chicken, shredded
*1/4 c. pesto (store-bought is great, too)
*1/4 c. Parmesan cheese, shredded

Cook pasta according to package.  Meanwhile, melt 1 TBSP. butter over medium heat in a large skillet.  Add carrots and cook a few minutes more.  Add chicken and stir to combine and warm.  Add pesto and toss to coat.  Drain pasta and return to pot.  Add remaining 2 TBSP. butter and Parmesan cheese and toss.  Season with fresh-ground black pepper if desired. Serve pasta topped with chicken mixture. Top with fresh basil and drizzle with olive oil.