Do the heirs sin for not distributing the inheritance and for refusing to sell the house, and is it considered unlawful for the beneficiary to live in the heirs' house without paying rent?

Giving each heir their due is a religious obligation, based on the words of the Almighty: "For men is a share of what the parents and close relatives left, and for women is a share of what the parents and close relatives left, be it little or much – a legal share." If the father passed away while the mother was still married to him, she has the right to reside in the marital home until her 'iddah (waiting period) expires, as per the hadith of Furay'ah bint Malik. After the 'iddah expires, neither she nor you have the right to remain in the house except for rent. Similarly, the other heirs do not have the right to deprive you of your inheritance share. You should go to a Shariah judge to divide the inheritance. The rent for the house during your use of it after the mother's 'iddah will be calculated against you, and it is considered a pledge to them from you. The matter of inheritances is serious and must be referred to the Shariah courts to investigate all rights, debts, and bequests before division.