Prestige is not important for computer science (thus all the t-shirts and blue jeans). You have in-state public universities that are very good for computer science, and stats that are excellent and should get you accepted to in-state public universities.
The prestige / ranking of your undergraduate school does not make much (if any) difference either when it comes to applying to medical schools. Your in-state public universities should prepare you very well for applying to medical schools also.
You are a very strong student with excellent stats. I expect that you will do very well regardless of whether you end up at a top ranked “famous” university or at a very good in-state public university (such as one of the SUNY’s).
In terms of extracurricular activities, my belief is that you should do what feels right to you, and do it well. If you get into a leadership position, remember that “leadership” does not mean getting your way. Instead, leadership means making the activity better for everyone (or nearly everyone) who participates in that activity.
This looks very good to me.
If the club is doing well, then this is very good also.
I do not think that you need a long list of ECs. Do what seems right to you, and do it well.
Remember that medical school is expensive. If you can save money for medical school, then this is a good thing to do.
And I think that you are doing very well.