SG,
The method of accounting U/s 145A does not apply to House proerty income.
In my opinion you may not get benefit of the amount paid to your father.Though the provisions says interest on borrowed capital is allowed as deduction u/s 24.
What amount of Interest paid to ICICI bank is eligible to get the benefit.
The proviso says the unless the assessee furnishes a certificate, from the person to whom any interest is payable on the capital borrowed, specifying the amount of interest payable by the assessee for the purpose of such acquisition or construction of the property, or, conversion of the whole or any part of the capital borrowed which remains to be repaid as a new loan.
Here is the link of the provisions of IT Act 1961 for your ready reference.
https://law.incometaxindia.gov.in/DIT/File_opener.aspx?page=ITAC&schT=&csId=bb74f675-4367-4d38-9de3-60569efb88c1&rdb=sec&yr=75996b99-a798-4098-bca8-e66ee23fe426&sec=24&sch=&title=Taxmann - Direct Tax Laws