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2L, female, top 25 school, 3.23 GPA, had a family member in the military, lots of sports/leadership experience, no relevant w/e other than public defender 1L summer (which isn't really that relevant), had an interview and it seemed to go well.

Chances? Any advice on how to stand out from the other hundreds of applicants for a 75-person program?

As far as the Navy goes, generally we are looking at people who would be good Judge Advocates down the line. Your school rank will help. Try to get across both your eagerness for public service and what you can offer the JAG corps. The internship defintely helps for selection, particularly if you do well.