You will NOT be on the Atrium Club level as those rooms are designated with "Atrium Club" in the booking. The booking code for a King Tower Club room is "CW" and reads: Standard Room King Club Level. A Queen room is even more mysterious and reads: Standard Club Level Room.
I have no idea why Disney makes it so mysterious so that even the CMs aren't sure what floor they're booking, but I assure you you're on the 14th with "CW" and "Standard Club Level." For an Atrium Club booking with a Bay Lake View, it reads: Standard View and not Bay Lake View and a Standard View for the Garden Wing is the parking lot and not Bay Lake

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Trish is correct that you can't book the Tower Club level online. You have to know those 5 non-suites exist (or the suites) and call to ask a (possibly mildly confused) CM about them.