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Thanks for your question.
Since you have already filed one motion, it wouldn't be necessary to file a second tion. You could likely do an amended motion for default judgment that repeats exactly what you've said in your first motion, except that it should include the amount you are requesting.
If you can find the rules for this particular court online at this late hour, the court might permit you to fax them your amended motion so that you don't miss the deadline. You would then send in your original amended motion (the one with your actual signature on it) by regular mail. Or, as you said, you could send it to them tonight by FedEx overnight.
Hope this helps.