Suggest Remedy For Swelling Under Eye And Bruises

I was hiking, saw a snake and fell in my attempt to escape. My right side of my head hit a rock. I have lacerations, slight swelling under the eye, a small temporal bruise above ear as well as a little swelling, and right side pain while chewing. This incident took place 4 hours ago. I am not nauseous, dizzy, or confused. I would like to go to sleep but should I go to the ER? I really do not want to get the radiation from a CT scan, but if it is important, than I will.