I keep burn gel packs in my kit, among many other things.

I feel that most home injuries are going to consist of minor scrapes and cuts, with an occasional burn (in the kitchen) and a rare, serious cut or laceration.

For the rare, serious cut or laceration, I keep a few OB pads and adhesive tape on hand.

About the only things that I have yet to get for my FAK is a stethoscope and blood pressure cuff. It has about everything else that I expect to need, including a Field Surgical Kit.