You can file a motion with the judge. However, you can not "write the judge" without copying the opposing side, as that is considered an ex parte communication with the judge, which is prohibited. I am not sure from your question as to whether you have had the arbitration already or are simply submitting packets of information to the arbiter for consideration prior to arbitration. It should not be taking this long to set up the arbitration or to get a ruling from the arbiter.
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