Yes, you definitely check that you purchased the property. The date of purchase is the day it was available for rent which is essential the 'date placed in service'. It's not necessary to remove or change the land that is part of the original rental property, assuming you will not sell the home or accessory dwelling unit (ADU) separately.
Simply leave the land blank on the ADU. You can use the description as ADU instead of a capital improvement, it will have the same depreciation attributes that it should have which is 27.5 year, for residential real property.
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