You cannot refile the same case -- it will be res judicata (already decided). New doctor reports will not help unless you won case and have right to reopen (injury within 5 years from date of Award of permanent disability). I cannot say claim is completely over as I do not know what if anything was awarded.
Questions of fact are not a good subject of a Petition for Reconsideration unless the trial judge made a decision that had no factual basis. Whether or not you suffered orthopedic injury to a body part is probably a question of fact. As such, you are right about the chances of your Petition for Recon.
There is possibly other ways to get more PD. I'm not sure if you filed a cumulative trauma or if you still work for the same employer? I'm not sure what your medical-Legal report (s) say. You should have an attorney evaluate your case. Even if none of the above options work, a WC attorney most likely can negotiate a better settlement than you can do yourself. Consider consulting an attorney.
I'm not sure we are really understanding your situation. It sounds like the judge found injury to two body parts, but not the other six? I don't know what you mean when you say, "I did not get 24% of the permanent disability that I need." Why do you "need" a particular percentage of disability? Perhaps if you clarify what your situation is, we might be of more help.
What can you do?
Just spread the word that handling your own claim turned out very, very badly for you ... so the next person has the good judgment to hire an attorney specializing in Workers Compensation law to maximize your changes of a favorable outcome.