Integrated Site Web services with company internal software

Integrated Site Web services with company internal software

Web Service URL -br.ampbr.com/.../hh

Site Web Public Ip -162.11.15.15,119.14.15.12

I have a DMZ server which run application ,to which this URL is integrated by API programmer 

I need to do white list both  the IP with port 443  ..? How 

and need to map domain name from host   br.ampbr.com with 162.11.15.15 and 119.14.15.12  with www.ampbr.com ?

now my question is do i need to create rule from DMZ to Wan 

or need to Create DNAT rule from external to internal bcz both ip are public domain ip  (162.11.15.15 and 119.14.15.12  )