Just a suggestion, look at the EINs used by other groups and organizations associated with the school; .e.g band boosters etc. If they all use the school's EIN, it's more likely than not that they are all wrong. (If the funds are not controlled by resolutions from the same bunch of people who issue resolutions authorizing the opening of the school's accounts and naming of signatories they should not be using the school's EIN.)
If you correct this problem, any issue of aggregating goes away unless the funds are deposited by the same person.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.