The side pieces are a prefabricated continuous carbon that have been cut to shape and bonded to the board after it has been PVC wrapped and re-shaped. Then outer plys bagged on in the traditional way - bottom first, lapping onto the deck, then deck. Deck plys are not lapped onto the bottom as this would affect the bottom shape too much, which is very subtly shaped, and yes they do sandwich the carbon extensions.
The carbon extensions are purely a sacrificial bottom that I can trim on the beach without compromising the watertightness of the board. We have just made them look sexy for fun. My son thinks the tail looks like a Whale Sharks mouth..pretty accurate description!
The side extensions are totally stiff. The tail extension started at 0.6mm and had some flex but now its trimmed back its stiff. Using chopped strand glass mat is equally effective - I just used what I had close to hand.
This idea of Neil's really came from the need to modify the board to find the correct trim, rather than building a new board every time he was not satisfied with the trim.
To answer your last question the answer is simply, yes. However that does not necessarily mean I have completely understood your question!