Well that was fast.
Our email problems were resolved today in a matter of minutes. It seems our old email account was tied directly to our old domain name. When we transferred to Weebly, we lost access to the email.
As of now, our new email is firstname.lastname@example.org. To make it easier to contact us, I've updated the relevant links throughout the website, and our contact form will send a message directly to the new email account as well.