What isn't clear from your question is what is the research question you want to test, in terms of the 5 traits and the two groups.
For example: You mention BI, one of the traits, as the DV. Do you want to test if the two groups differ on BI? If the other four traits affect or are associated with BI values? Or if the two groups differ in how much the other four traits affect BI?
Or just how the 5 traits coincide within each of the two groups?
Or something entirely different? A lot of people really have trouble getting specific at this point, but it's really crucial in deciding the right test.