The draw and anchor is in the whole hand and arm up to the elbow. It is more than your fingers. This is what I do.
First, if you take your draw hand and curl your three fingers only you will notice that you can still easily move your wrist. My goal is to get you to the point where your hand, wrist and fore-arm is firm as if you were getting ready to throw a punch. This will get your arm to line up in a straight line when you get to full draw.
Practice this by making a fist with the thumb on top of your hand
Then keeping the fingers in tight, extend the fingers like this...my fingers are not relaxed but tight as if there was a grip on the tips...
Then take the thumb and put it on the pinky covering the nail. You will notice tension in your hand and forearm and it should be difficult to move the wrist when everything is tight.
If you take your anchor hand and put it up against your face in this position you will notice the thumb on the pinky will probably line up with your jaw line. This gives you an anchor point.
With the fingers closed and the top or index in the corner of the mouth you will have two anchor points.
Upon release the finger just open and the tension in the arm up to the elbow will keep the hand closer to the face.
The fat lip is from Copenhagen and it is optional.