For your med kit: I carry bandaids, eye patch, 4x4 and 5x9 dressings, kling, betadine, triangle bandage and a magazine (emergency splint), Primatene mist and benadryl (emergency use for allergic reactions - epiPen is better), aspirin (signs of a heart attack or just plain headache), and eye wash (drops will work). I also carry Nitrile gloves, not latex because some people have latex allergies, and CPR mask. This would be in addition to any required meds - make sure they are not expired.

If you want even more, a spare cell phone battery that is charged, and a good tac light (Fenix TK12 with strobe capability for signaling).
I recommend to everyone to take a first aid class along with CPR -- should be required for new mothers and fathers (at least for cpr & choking). The main thing is to be prepared for something that will take you out before emergency services can arrive when far away.
Disclaimer: I am not a Dr, and he/she would be the one to talk to prior to using the above. I have been away from emergency services for over 5 years now so there may be improvements/changes out there. A commercial first aid kit should contain most of the above wth a few exceptions.