When someone makes a purchase on my Eshop website, I do not receive a notification from Eshop. I get the PayPal payment notification, but not the Eshop one. So if a user selects Offline Payment, I don't know an order was even placed until I get his check in the mail.
It is related to some wrong setting in your PayPal account or in the PayPal payment plugin. Please submit a new ticket to EShop category to send me the super admin account to your site so I can help you to check.