Place a skillet over medium-high heat and add the olive oil. Once hot, add the onion and jalapeno and cook for about 5 minutes. Remove from heat and set aside.
Place a medium saucepan over medium-high heat and add the chicken broth. Bring to a boil. Stir in the rice and Rotel (with juices). Reduce the heat to low, cover, and simmer until the rice is tender, about 20 minutes. Drain any excess liquid, spread the rice on a parchment-lined baking sheet, and let cool completely.
Beat the eggs in a large mixing bowl. Then add the cooled rice, onions, jalapenos, parmesan cheese, cilantro, 2/3 cup of the breadcrumbs, chili powder, and cumin. Stir until evenly combined.
Divide the rice mixture into sixteen portions, and roll each one into a 1 ½-inch ball. Push a small piece of Queso quesadilla into the center of each ball. Reform the rice around the cheese so that it's sealed inside the ball.
Place the remaining breadcrumbs in a shallow bowl. Roll the rice balls in the breadcrumbs and place them on a parchment paper-lined baking sheet. Loosely cover the baking sheet with plastic wrap and refrigerate for 1 hour to overnight.
Add enough vegetable oil to fill a large pot 1 inch up the side. Place the pan over medium heat until a deep-fry thermometer registers 350 degrees F. Working in batches, fry the rice balls, turning them as they cook until they're golden brown on all sides, about 4 minutes. Remove with tongs or a slotted spoon. Trasnfer to paper towels so the rice balls can drain.