Sarahama,
It sounds as though you have tracked down your problem. I agree with Hummingbird, you have a wiring problem or someone is tapping into your power. Since the water heater has been replaced(and I am asuming the new water heater has a new filament) then the heater is pretty much eliminated.
Get an electrician in to check the wiring and bill your landlord. I have actually seen, in the past, a failing circuit breaker that would cause more current(and hence power) to be pulled than should have been.
JJ
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