You are correct on two key points.
- The original purchase price plus improvements is the cost basis.
- Condo's generally have common area for land and it is not allocated to individual units.
On a separate issue. You purchased the condo in 2010. Is 2020 the first year that you're renting it? If so you are fine.
If you started renting prior to 2020 you should go back and amend those tax returns to include depreciation. You can amend tax returns for three years. you can amend 2017 up until April 15th 2020.
When you decide to sell the property you will have to recover ALL of the depreciation for all years whether you took credit on your tax return or not.
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