You can change the email associated with the old account but would need to contact support directly if you don't want to log in via Facebook with you newer account and would rather use an email.
https://support.chess.com/customer/portal/emails/new
They will likely close your other account or have you do it.
Dear friends, please give me a hand. I used log in in the website using the Facebokk icon, because I've forgotten the password long time ago.
Today I choose the ''forget the password?'' button, received the e-mail from the chess.com website and reset it right away.
But whem I log in using the email and the new password, the account that appears looks old, doesn't have my current nick and photo and the archive games date 2010, but I play almost every day.
If I choose to log in using the facebook icon, the account that comes up is the one I am used to. I just don't know what to do about it. Note: My Facebook account is registered with my principal e-mail, the same used in the chess.com website. Any tips?