I only watched your first video, so I am only going to critic your first video.
First thing I noticed going into the first barrel is your horse does not have much rate.
You really want to teach him where to start rating before adding any speed.
The second thing I noticed in between you first and second is that he is waiting until the last minute before he switches leads.
You want to try and get him to pick up his left lead no latter then about mid way between your first and second barrel, this is probably why you seem to have more of an issue with the 2nd barrel more then the others because he is getting his feet all mixed up. This is a problem you need to fix ASAP because it could lead to some terrible issues in the future.
Also, the third thing I wanted to tell you is that your hand positioning and seat all look great but try to start picking him up around the barrels instead of pulling him around. Pulling him around while he is still learning can lead to a horse that will start dropping into his turns, teaching him to pick him self up into and around the turns now while he is learning will lead to a very easy horse to run once he is finished.
Always remember to go slow and take it easy, do not worry about the speed right now. What is most important is him knowing how to do it properly at a slow pace, when he is ready and with time the speed will come.
(note: I did not read through the other comments before I posted this so sorry if I repeated anything anyone else said)
Edit: Another thing I would recommend is to not just do the pattern over and over. Its best to change it up. Right now your biggest thing to get down is him knowing how and where to place his body going into and around the barrels. Try making random patterns with different amounts of barrels, different spacing in between, turning on different sides as well. You don't want to burn him out or bore him before you even get started. Of course you want to start slow and over time move up a notch in speed. I think this would be the best thing for you to do until he gets his turning down and you get it down as well :)
Last edited by sierrams1123; 02-03-2012 at 02:55 AM.