Hello,
That looks like a Expanded Problem Focused History. All three elements (HPI, ROS, PFSH) must be met to qualify for an E/M level, otherwise the lowest (HPI in this case) will determine the overall History type.
Source:
CMS E/M guidelines
Hope that helps.
Yes, whether the patient is New or Established has little effect on the History (except for getting a Complete Past Medical, Family, Social History).
Medicare pays on what is the least medically necessary, and if either of the three History components (HPI, ROS, PMFSH) is lower than the other two component; then the lowest component will determine the overall History.