Orb,
If you're still trying to determine your dominant eye, try this.

Lookin at a picture or similar thing across a room or even a tree, put your two thumbs together while putting your two index fingers together was well to form a circle. Hold the circle out in front of you and look at the object you decided on. Then bring the circle towards your face. As it gets near, the hands will automatically favor the dominant side and the circle will land over the good eye. It could take a couple tries but you will get it right.

My son is right handed but left eyed. He has learned to shoot left handed all of his life. I, on the other hand, am left handed but right eyed. I therefore shoot right handed.