Are my emails lost?
(Short answer: probably not. Long answer follows...)
Emails to your domain are normally in 1 of 2 places:
a) On our server, waiting for you to collect (or to be relayed on to your server)
b) In your email program, as you've already downloaded them from the server.
As the server is broken, new emails sent to you will be on either:
a) The broken server
b) On the server of the person sending you the email (as they have been unable to send them on to our broken server)
Emails on our server are backed up overnight, and we are restoring these at the moment.
Looking at the logs we have, it looks like the server stopped accepting emails sometime before 11pm, 9th March. Our latest backup completed at 3am, 10th March. So emails should not be lost. Once the server has been rebuilt, emails will be accessible again.
Emails that are on the senders server will be queued, and they will wait until the broken server is back up, or support have moved you to the new email server.
The ideal way forward for you is to move your domain on to the new email servers.