Bring a large pot of salted water to a rolling boil, then add rotini and cook to al dente, about 11–12 minutes. I taste a piece at the 10-minute mark because mushy pasta will destroy this entire dish—you want tender with a slight bite. Drain the pasta but don't rinse it because the starch helps the dressing cling.
While pasta cooks, whisk together olive oil, lemon juice, dried oregano, salt, and black pepper in a small bowl. The dressing needs to be whisked for exactly one minute so the oregano releases its oils and the flavors meld. This is where the magic starts—most people skip whisking and wonder why the dressing tastes flat.
Transfer the warm pasta to a large serving bowl and pour the dressing over it immediately. Toss well, and yes, this warm-pasta trick matters because the noodles are still porous and actually absorb the lemon and oil. Let it sit for 5 minutes so every strand gets coated.
Add the halved cherry tomatoes, diced cucumber, finely chopped red onion, sliced Kalamata olives, cubed mozzarella, sliced turkey pepperoni, roasted red peppers, and drained chickpeas. I fold everything together gently so the cheese doesn't break down and the tomatoes stay somewhat intact. This is where your Italian pasta salad family summer recipe transforms from just pasta into a complete side dish.
Toss everything once more and taste for seasoning—this is your moment to add more salt or lemon juice depending on how many people you're feeding. I usually add an extra pinch because the pasta absorbs salt faster than you'd expect. Cover and refrigerate for at least 30 minutes before serving.