You can take tests up through November for EA -- no rush report required.
From the admissions website,
here:
Quote:
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In order to apply for freshman admission, you must take the required tests on or before the November test date for Early Action or the January test date for Regular Action.
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So, yes, you could take tests in October, send the scores, then re-test in November. If the scores are better, those are the ones that will be used in your evaluation.