Return2golf,
I would suggest your next practice session involve slow swings to help obtain the "circular" nature of a golf swing. This will teach you how to bring the club from "inside to out".
At the top of your backswing, start the down swing with a gentle push on your front foot. At the same time, your arms should fall naturally. Do not turn yet and wait for just a split second. Let your hands drop then start your turn.
Try to imagine your arms "rolling" down the front of your chest while you are turning. Keep your upper arms close to your torso. If you don't, you will just be casting your arms at the ball and will most likely come from the outside in.
It will feel weird at first, but that will most likely be a good thing. As you continue to roll your arms down your torso while turning, your right hand should naturally close the club face. Remember, keep rolling your arms thru the entire downswing.
Good Luck!