Is doubting the estimated value of an apartment agreed upon five years ago cause for redistributing the inheritance, and what is the ruling concerning a car that my father registered in my name before his death, and should the statement of a non-Muslim person be acted upon regarding the father's transfer of ownership of a plot of land to one of the heirs without material evidence?

Firstly: The valuation of an apartment should not be determined by only one heir. However, adult, sane heirs may mutually agree on a division of assets, even without a formal appraisal. An heir is also permitted to waive their right to the inheritance, in whole or in part.

Secondly: If the father gifted the car and the son took possession of it before the father's death, then it is the son's private property. However, if the father did not hand it over and it remained with him until his death, then it becomes part of the inheritance to be divided among the heirs. If his intention was for the son to take possession of it after his death, then it is a bequest, and there is no bequest for an heir unless the other heirs permit it.

Thirdly: The father's intention to gift land to one of the heirs is irrelevant as long as he did not act upon it before his death.