first aid kit for a dog I am looking after

I do not own a dog. My neighbour's Labrador got a cut on the paw last month when I was dog-sitting, and I realised I had nothing useful in the flat. So I bought a basic kit this week. It has sterile gauze, a bandage roll, some tape that does not stick to fur, saline, and a plastic syringe for cleaning the wound. The vet told me not to use a human cream on a dog's wound without checking first. It is small enough to keep in the car. I will be honest, I hope I never need it, but the dog was grateful that I stopped the bleeding quickly.