Yes. If the injury is something like you listed, I call. I don't want one of my kiddos to go home with a big fat lip, bruised forehead, etc... and the parents not have any idea what happened. That's an open invitation for my head to roll the next day, when the parents are mad that they weren't notified. Plus, with something like a bump to the head, sx may not present themselves until the student is away from school and with their parent/guardian.
If the injury was a result of an intentional injury by another student, I generally call, but let the parent know just what I can address medically, and explain to them that administration is investigating the details and that they will be contacting them soon with any further information.