Customers not receiving emails

[jmdday]

Email is being sent from contact us page and when the customer orders something from the online store good, but the problem is a email is not being automated from the order to the customer's email address.

 

I have the send email option set to true under Email options in admin.

 

I noticed to, when I change the "send extra order emails to" another email other than the stores domain email, it will not send. I can use any email on the store owners domain it is fine, but any other domain it will not send an email. I am not getting any errors either when the change is made and a test email is sent.

 

Should the customer get an email sent to his or her email after the order has been processed?

 

Thanks for any help.