Yea, your forearms early. If you look at 0:07 mark, were the clubhead is parallel to the ground. You can see a big space between your left arm and your chest. Start your swing more with rotating your shoulders and keeping that left arm against your chest. Basically the left arm will stay connected to your chest, and then rise up your chest to gain height.
I would also recommend rotating more on an incline plane, your very armys. Look at some of the 5-key videos posted under the "Swing Thoughts", there some good stuff there. The last one would help you with your turn. When they put a stick in the guys belt loops. See how that stick points more towards the ground than the horizon. You got good hand eye coordination and your young, but when you get older you'll need a more technically sound swing to compete. If you stop the swing were your at the top of the swing, your shoulers should be pointing more towards the yellow golf balls. Try to feel like your head isnt' moving up and down, you rise up in the backswing.