Hi,
You would need to consider the guidance at
CG14530 - Consideration for disposal: market value rule onwards, when working out if your father has a gain after private residence relief is applied. (
HS283 Private Residence Relief (2024)).
There is a calculator at
Tax when you sell property to help you work this out.
As this is a second property for you, you may have a capital gains liability, if you dispose of the property.
We are unable to advise on stamp duty in this forum.
Thank you.