lots of good advice already posted.

a bunch of good can be done with a couple cravats, duct tape. (I take a full roll of duct tape to tape sprains and all the other things duct tape is great for). As others said, but has also been debated before, the splinting can be improvised. Your call on the SAM.

bleeding control stuff. ace wrap.

blister stuff. i use duct tape, but some prefer moleskin or 2nd skin

ASA
NSAID in case the pain is due to injury esp. sprains, strains.
Sudafed
Pepto tabs, antacids: reflux pops up in cold weather camping due to eating then hopping into a tent for the evening, lying down.
Lomotil
Cough drops or the cough strips that dissolve. (smaller packaging)
Since it is flu season the nyquil/dayquil gel capsules are handy.

I put all meds in a ziplock, tear off the back of the box where the dosing info is and put that in the ziplock.

an epi pen. benadryl

topicals: neomycin, anti fungal, cortisone. also good for chafing, if your clients/friends arent used to hiking, hot spots can get huge and ruin a trip.

tweezers, a needle or two.

small scissors

couple pair of gloves, cpr barrier (the kind that fold flat, low bulk).

photon light clipped to the first aid kit. good for looking in ears, noses, throats, etc

q-tips and an eye cup for inverting lids, cleaning eyes. small bottle of saline.

floss. lots of uses.

and then whatever extra you have training to use.

I'd ditch the cold packs. I don't think they get all that cold, they weigh a lot, they are bulky, and when they leak, its a mess. Too much weight for too little utility.