not getting emails on my Mac air

Can you send emails?

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: If you can’t send messages.   

Troubleshooting sending email messages    

Mail not sending or receiving messages after updating OS X.      

If you log into your Apple ID and there isn't an @Mac.com address there, you can't add one.

Apple ID - Manage         

Make sure that your email address is signed in to mail.

How do I get an Mac.com-adress?

How do I get a Mac.com-adress?