RE: Would a 133L Carve work
I'll kick this one off :-). My feeling is that the board you learn on will not be the board you "get air, speed, and tricks on". Sure it is possible to learn on a carve, but it may not be around and in good enough shape in a couple of years when you are starting to want to do the other stuff.
15 km winds are only about 8 or 9 knots at best, and in that range, you'll need at least an 8m sail and 85cm wide board to be consistantly planing.
There are many possible combinations, so I'll let Roger go through them with you. He has taught thousands of guys in your situation.
Good luck and welcome to a great sport