Question - Arm (rugby hyperextension injury)

I was playing rugby and had some awkward falls during a couple tackles. I remember thinking "that hurt" a couple times but don't remember which instances they were. It wasn't until I was driving home that I noticed my arm hurt. It just seemed sore and like something wasn't right.

It's been a week and I still can't straighten it all the way or turn it without pain. The pain can go from my wrist to all the way up to my shoulder. I'm thinking maybe I accidentally put my arm out in a tackle (stupid move) and hyper extended it or something. I'm not sure though because I have never done it before.

I have another game this weekend and I'm not going to miss it for anything but it would be nice if my arm was better. What can I do to make it heal faster?