In a large skillet over medium heat, heat coconut oil. To the skillet, add the first 4 ingredients (steak through salt and pepper) and cook for 10 minutes, until steak is to desired level of doneness. Allow to cool and set aside.
In a large bowl toss the steak and the next 4 ingredients (lettuce through onion).
In a small bowl, whisk the remaining ingredients along with sea salt and freshly ground black pepper to taste. Pour the dressing over the salad and serve.