Pat down shrimp with a paper towel to remove excess moisture. Set aside.
In a shallow dish, whisk together lime juice, oil, and seasoning. Add shrimp and toss to coat. Cover and marinate for at least 30 minutes up to overnight.
Meanwhile, make the salsa by tossing all ingredients together. Make at least 10 minutes in advance, up to 4 hours.
Heat a grill to medium high heat. Thread shrimp onto a skewers, about 5 shrimp to 1 skewer. Sprinkle on any extra seasoning. Place skewers on the grill, grilling 3 minutes on each side.