I think you should definitely get checked by a doctor, and do it today. Ask them about your neck and the possibility of a concussion. Please tell them everything that happened, so they can check all your injuries.
Also, if it's safe, please talk to the doctors about local resources for you to leave this relationship.
Here are some resources that can help, too - https://www.medhelp.org/general-health/articles/MedHelp-Crisis-Resources/1037
No one has the right to hurt you like this, no matter what. It doesn't matter what the fight was about, or what he thinks you did, or what you actually did. This is domestic violence, and I really hope you talk to someone about your resources for leaving. There are places all over the world that will help you leave safely.
Please let us know what the doctor says. I hope you feel better soon. :)