RE: Carbon Arrows
Welcome to the board!
There are a lot of good quality carbon arrows out there. I personally like the Beman ICS Hunters but there are many other good ones. A pro shop could set you up with a half-dozen or so that are cut to your proper length and spined correctly (the right stiffness) for your bow.
Carbons are a great choice if you are starting out since the can take a lot of abuse. Be sure to check them for damage on a regular basis since a damaged carbon arrow can 'self destruct' into sharp splinters if you shoot it.