I have basically all the requirements needed, but have a few quick questions.

I have a 590 on writing, 610 on math, and 590 on critical reading for my SAT.

I know this is the low end of the mid 50% of accepted students.  My question is; with these scores and a GPA of 3.95, and all the sports/physical/leader requirements covered, are my chances still good?

Apply and find out.  No one can tell you "yes" or "no" once you have the minimum requirements met...except for the admissions committee.