Cherry Tomato and Chorizo Omelette

Name: Cherry Tomato and Chorizo Omelette
Ingredients: 1 tbsp canola oil; 2 links chorizo (casing removed and quartered 1/2 inch thick); 2-1/2 cups cherry tomatoes (quartered); 2 tbsp jalapeno (minced); 1 tbsp garlic (minced); 1/4 tsp salt; 1/2 lime (juiced); 1/4 cup cilantro; 4 tbsp unsalted butter (divided); 8 eggs; 4 tbsp half & half (divided); 1/2 tsp salt (divided); 1/2 tsp pepper (divided); 1/2 cup crumbled queso fresco (divided (about 2 tbsp each)); Crumbled Queso Fresco (cilantro, and chives for topping.)