Still not receiving emails or website news

I understand you are not receiving email messages. Please read If you can't send or receive email on your Mac - Apple Support.

If you are unable to load web pages, read If Safari on Mac doesn't open a webpage or isn't working as expected - Apple Support.

OS

Troubleshooting Apple Mail

What does Mail/Window/Connection Doctor Show? If the server is red, select it and look at the Show Details box.

Mail: Mail troubleshooting 

Mail: If you can’t receive messages.    

Mail not sending or receiving messages after updating OS X.      

IOS

Have you tried deleting the account(s), restarting the device, and then adding the account(s) back?

Mail – Setup on a device    -

Mail - If you can't receive email on your iPhone, iPad, or iPod touch    *