Two main things to consider. You want to take care of cuts and burns. Second you want to be ready for a couple of bad things.
A couple of 2x2s, and 4x4s, some duct tape, with small amount of hydrogen peroxide will handle almost all lacerations or burns. Antibiotic ointment has been shown to not be very effective in preventing infection. A good scrubbing with clean water, couple of drops of hydrogen peroxide (goes a long ways if you are careful) and clean 2x2(s) or 4x4(s) topped with the cleanest piece of material you have. Can all be wrapped with strip of stretchy clothing if needed. a 2x2 and piece of duct tape is just as good as a bandaid. Alcohol based hand cleaner (Purell) works well also.
For the bad things, systemic infections, GI infections, and allergic reaction/anaphylaxis are the big three that can be somewhat treated. Everyone should carry a few benadryl. Will take care of most minor allergic reactions, and help in a more serious reaction. If you have ever had a serious allergic or anaphylactic reaction in the past you should consider carrying an Epi-pen. Lifesaving. I agree with a previous poster that normally you wouldn't start an antibiotic until the bug is identified, but if you are three days out a good broad spectrum antibiotic (probably best is a cephalosporin) is probably a good thing. Wash your hands and treat your water to prevent Giardia and other GI bugs. Won't know you are infected until it "hits" A couple days of flagyl will help you get back to civilization.
So here's my suggestion:
3- 2x2s, 3- 4x4s, small bottle of Purell (in kitchen kit), small bottle of hydrogen peroxide, 5- 25 mg benadryl, 3 days of a broad spectrum antibiotic, and three days of flagyl. If you have a history of serious allergic reaction or anaphylaxis carry an Epi-pen. Couple of ozs at most.