Can't Access Downloaded Music On Old Non-email Account

I just upgraded my computer and copied back my iTunes music. There are about 50 downloaded songs that I can't access because they were downloaded to an old account that did not have to be your email. I like many of these songs and because I've already paid for them, don't want to download and pay for them again. I believe Apple does not support this old format login and if they do, I don't remember my password. Trying to update the password online, it says my old login is not a valid email

I'm hoping someone can help me. Thanks all.