There should be a locally saved PST file, if your emails are stored locally. You just copy that over the new PC import it in to outlook. Be warned the new outlook is tricky to say the least with PST files. MS is stepping away from that format and trying to make it difficult/impossible to use. So either stick to the old outlook if you know how, or do you research with the new one. Initially the new outlook didn't support pst files at all, but I think that added some support recently.