Thanks for the comments. Let me try to explain some things and to respond to your suggestions and comments.
#1 A hadaka jime (rear naked choke) is a great option here, I just chose not to do one. I could have gone into a number of different chokes (jime waza) but decided for the throw (nage waza) and the cross lock (juji gatame). But either way. As for the hand not being there, if you do the move correctly, your opponant's arm will be there. Let me explain. After ducking the hook punch, I step in for the iriminage (clothesline). If you notice my left hand, you'll see that it is on my opponent's right hip. This hand will push away from me while my right arm is bringing my opponent closer to me. Because the body will go where the head goes, his arm will be right beside him and me, making it easy to grab and control. You have to remember that your arm may be trying to brace your fall because hopefully you have been trained how to break your falls, but when a person is clotheslines properly, his arm can't go down.
#2 Is exactly like the first move other than it doesn't duck the punch. What is missing here (and I should have added it) was the atemi (distraction). I should have done something before the iriminage throw. However, the advantage to this move is that by taking his arm to the outside, it opens his body to many techniques as either atemi or the actual move.
#3 & 4 are different moves as they are two different throws (nage). The first one is a taoitoshi, which basically traps your opponent's right leg, in this case, by locking his knee. To be more "jutsu" about it, I would have hit his knee with my calf and give it a good pop. The actual throw is a whipping motion from right to left going around the leg. It is not a "hip" throw. #4 is a seonage (shoulder throw). After stopping the attack, and giving a good distraction, I let the person fall to my back, where I use my hip to take him over my bicep (shoulder throw is a misnomer). The osae waza that I use is called a ude garame. This is where I use both hands to lock his wrist. Believe me when I say this, but if I lock this position, I don't have to worry where your other shoulder is. I could have done other things from that position, but chose to show that one. I'm not sure what a kimura is, so perhaps you could explain?
Thanks again for the reply Joe and keep those suggestions coming and keep on training!