I went to the server and they are not there. I too thought that the emails would be there but..... So that's that. Spectrum has webmail and you can get right on their server using your email address and password that would be associated with your regular email client. Some email I keep if associated with a purchase, these emails were associated with getting my other computer fixed and with the manufacturer with the case number. With them gone I might be up a creek without a paddle. I do have an old case number written down, hopefully, they'll be able to trace it to the new case number. We'll see.
I've definitely learned a lesson. Granted, you don't normally back up your email but it wouldn't hurt to do just that, in fact, it may be a good practice to back up all folders as your contacts are there as well, just in case something happens. You never know anymore.