Changing this is not going to be simple. The blank paragraphs were a part of it but not all.
Like most resumes, this is structured as a
Table.
The name is in the same table row as the photograph. You can merge cells to change things, but how this will change other things is unknown.
In my experience, most resume templates out there are designed to look good, but are not designed with how Word works in mind. They are hard to edit. In this instance, there was limited use of styles, most text is in the normal style including some headings.