What are you planning to do with them? and what did the previous owner do I'd be very careful that you the site you put up bears no evidence of the previous owner.
Frankly I wouldn't bother to buy it because what am I going to do with it? Write an autobiography about him or her??!!
It's hard to say without more info but those links are more than likely from "comment backlinks" where they used a "real name" instead of keywords as anchor texts. The domain could be toxic, received a penalty, who knows why they dropped it.