Admin notifications for new customer and modifying new customer registration

Hello,

I have searched google and the support forums and have tried a few solutions, but I cannot find an answer to the following issues:

1. Admin email in General > Settings does not receive notifications when a new customer registers. We do get notifications if an admin creates a new user, the notifications are received. Emails are sent if an admin creates a new user, but no email when a customer registers.

2. How do you modify the fields in the New Customer registration? The “Name” field is really for a user name. We would like the customer to create a username and their real name.

Thanks in advance for your help.

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