you need to use/access your screen name from time to time
Yes, probably true for most free e-mail accounts but thanks for the reminder.
I have just looked at mail_aol_com and had no trouble selecting all of my old e-mails (both Sent and Received) using Shift-Left Click first item, Shift-Left Click last item ... presumably the next step, forwarding them all to a new Mail Box, should be quite straightforward but I didn't try it.