I really think your parents should be helping in this decision, but I'll add my opinion.

At this point in your life, you really can't know for sure where life will take you, and what you'll want to do. You might decide on a job that requires full use of your arm. It would be a shame to be limited later because of something you could have done earlier. I would try to make it as close to 100% as possible, now, while you have the opportunity to heal quickly.