Exchange 2013. Add mailbox from powershell.

Check database name:

Get-MailBoxDatabase

for existing user mailenable it:

Enable-Mailbox estherv@contoso.com -Database UsersMailboxDatabase

if you create new user:

New-Mailbox -Alias pilarp -Name "Pilar Pinilla" -FirstName Pilar -LastName Pinilla -DisplayName "Pilar Pinilla" -UserPrincipalName pilarp@contoso.com -Password (ConvertTo-SecureString -String 'Pa$$word1' -AsPlainText -Force)

add additional email addresses if needed:

Set-Mailbox "Tom Taylor" -EmailAddresses @{add="tomt@acme.com","tom.taylor@acme.com"} 

choose default reply to address:

Set-Mailbox "Tom Taylor" -PrimarySmtpAddress tom.taylor@acme.com

if mailbox is configured to use an email address policy then you shoul disable it first(before doing previous step):

Set-Mailbox "Tom Taylor" -EmailAddressPolicyEnabled $false

check is user created:

Get-Mailbox <Name> | FL Name,RecipientTypeDetails,PrimarySmtpAddress

check what distribution group configured

Get-DistributionGroup

Add mailbox to distribution group

Add-DistributionGroupMember -Identity "Staff" -Member "tomtaylor@acme.com"