I ran through the forums quick, looking for anything already posted about K9 buddy aid. I didn't find anything, so here it goes.
Working as a Paramedic in an urban setting, I've come to know several K9 officers and their dogs. Dogs are sent into crawl spaces, give chase, and track through every environment. K9's are just as susceptible to the same injuries we are. Blunt force trauma, penetrating shooting/ stabbing/ impalement), lacerations, burns, environmental etc. are all dangers for dogs, working and otherwise.
K9 aid is taught in some TCCC classes, but not all. And when push comes to shove, if you have the tools might as well get some of the knowledge. I've found this PDF to be hugely informative and helpful. I've had to use the information provided a handful of times for working dogs, as well as dogs pulled from house fires. The basics are great for everyone with a dog in their life to know. The more advanced info is a good introduction to another set of skills to be learned.
Obviously, I don't condone practicing any medicine without properly certified and supervised training.