I love how you have looked at the DL vs. f2F analysis. That is great. You have come up with some hypotheses of why your demographics are different from the institution as a whole. Can you come up with ways of testing your ideas? The disparity with African Americans and others is pretty dramatic, even for a relatively few students. It may not be statistically significant at a 95% confidence level, but it seems like something to keep an eye on.
Are you ok with the DL vs. F2F success rate differential?
It seems like you have a great case for class size having an impact on success.
I would be careful attributing "barrier" to math competence. It MIGHT be math placement? or prerequisites? but I don't think any data you have is measuring student facility in math.
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