Double check the alternator. Advanced tested an alternator for me and said it was fine, but that turned out to be the problem. If the charge light is one that could be your problem.
I like the S13 personaly. It seems Like a really good chassis setup. Not that I'm not against the s15 that car is amazing, but getting one is expensive. You F up a s13 you can replace most parts, just my word on it.