Welcome to the group. It appears that most of our feedback will come from ourselves, the students.
I reviewed your video. Your right hand position looks good as well as how you are striking the strings. The position of the guitar itself does not look correct to me. It appears to be pulled back towards your chest, sitting on it edge rather that flat on your leg. It looks like this causes your left hand to be positioned incorrectly, with the thumb well exposed over the neck. I think if you were sitting up straight in the chair the guitar would less likely be pulled back on edge and there is a good chance the left hand would be better positioned with the thumb well behind the neck.
I tried finding some videos that might explain the position better, this is the best I could do, I hope it helps http://www.youtube.com/watch?v=hxR_esEw_xs
Frederick Noad in his book talks about being in a dominant position over the guitar. I saw the very nice looking electric guitar in the back ground and wondered if the position you were using with the Classical Guitar was being modeled with how you play the electric.
There was one video I looked at for you that was interesting in that the author talked about Carpal Tunnel issues with improper left hand. While he did not address positioning of the guitar per say you can see in the video the guitar is sitting squarely on his left leg, not pulled back towards his chest on its edge, as he describes correct left hand position, so I decided to include this video for you as well http://www.youtube.com/watch?v=5KydzlD2 ... RhxVklZbEn
Two of my favorite guitarists to study positions are John Williams and Frederic Mesnier http://www.youtube.com/watch?v=GlKG4ASK ... D8EF952C7F
Finally M. Delcamp in the opening pages of DO1 describes how he thinks the left left position should be with specific reference to the thumb.
I am a beginning student and offer these comments in hopes they offer some helpful guidance to you.