Q. Is the outline page included with the research paper? Does it come after the title page?

According to the 6th ed. of APA, outlines are not mentioned at all: ‘Manuscript Elements’ 2.01, 23.              

Outlines are mentioned in: ‘Strategies to Improve Writing Style’ 3.11, 70 but it is mentioned only as a tool for effective writing.

Consult with the instructor as to placement.  Individual instructors do have specialized instructions for their papers.