If I had to pick one, I'm not sure. Could I decide to arrive in the transition with a sorcerous legacy? It would suck to drop into such a high magic setting, but be confined to having no actual innate magical capability.
Yes, you can pick whatever class and race you want within the context of the rules of the official source material. The only difference is you can learn all the feats you deserve as long as you meet the requirements. Like going to a trainer and saying, "Hey teach me how to do this."