1. You can "not" claim improvements and/or depreciation, however if audited, the IRS would require you recapture depreciation whether it was taken or not.
The term is "Depreciation taken or could have been taken". The IRS wants depreciation claimed and, if applicable, recaptured.
2. The IRS will use any method they will argue as fair, possible by using assessment values on tax bills or a market analysis.
Pub 527
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