The internet is working OK and email on my other devices. I recently changed my router though pretty sure it has worked since. My guess is that it requires a password but it does not say so, nor can I find anywhere to enter one.
I just want the names of the email servers your phone is using. Is it mentioned when you get the "cannot conect to the server" message. If not then tap Email -> Menu -> Settings -> Manage Accounts". I got those instructions from Google so I won't be able to help you further if you can't find what you're looking for.
Letting me know who your email provider is may help too.
I have just returned from holiday where I logged in to the WiFi account at the holiday home and whereas the phone displayed that I WAS connected to the internet indicating (seeing) the name of the router but I was unable to use the internet. It seemed that the internet at the time was down in the area.
Have you actually accessed the internet on the phone?