since you can throw, it all depends on your fielding ability. you can play 2B, but if you have the ability to field the ball cleanly, and frequently, you can play 3B. If you also "know what you're doing" on the field, as in you know where to play, you can play SS, since you're also fast.
It depends how strong your arm is. If you can throw the ball across the field in minimal time, then try for third or short. If you're only able to make the shorter throws, then try out for second.
I'd say second also because it is the easiest of the infield positions to play,because the throw to first is easy because its so short distance and also to second base if there was a runner