Painting the building would not be an improvement. This is an expense that would be split between your residence and the rental property. If you installed siding or added a porch, those would be improvements that would be depreciated over 27.5 years.
Appliances have a shorter depreciation period, although you may be able to expense them fully under the Safe Harbor Election.
Rental Assets stand alone. Even if one asset is fully depreciated, the remaining asset continue to be depreciated over their useful lives.
The links provided earlier will answer many of your questions about depreciation for rental properties.
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