1. Yes you file both. Puerto Rico due to the sale and US requires all worldwide income be reported. If you have state tax, include it.
2. Yes, the house is a capital asset. Since you inherited the...
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1. Yes you file both. Puerto Rico due to the sale and US requires all worldwide income be reported. If you have state tax, include it.
2. Yes, the house is a capital asset. Since you inherited the house, your cost basis is usually the value on the date of death. If you sold the house pretty soon after the passing, there may not be a taxable gain in the US. If you don't know the value at that time, you will need to find out. A realtor, tax assessor, some way to show the value when you inherited the house.
3. Maybe. The 1116 is so you don't pay PR and US on the same income. If you do have a taxable gain on the income, you do not want to pay both places. The US allows you to claim a credit for the tax paid to PR on the same income. Once you file the PR return, you will know if you had any taxable income and the actual tax amount. If there is a gain on the US return, you can use the 1116 to reduce your taxes. Choosing the credit is better for most people rather than taking the deduction on Sch A. A credit is dollar for dollar in your pocket.
Reference:
Where do I enter the foreign tax credit (Form 1116) or deduction?