Is zakat due on the medicine warehouse owned by my late father—may God have mercy on him—which has not yet been sold after his death due to the terms of the contract with the partners, and is it obligatory to pay zakat for the past years?

If the storehouse is inherited and designated for storage only, there is no zakat on its value because it is not among trade goods (ʿurūḍ al-tijārah). If the storehouse contains trade goods belonging to the deceased, there is no zakat due on them from the heirs, because their ownership transferred to them through inheritance, and they are not considered for trade merely by being inherited. As for the question about the zakat on an entire project, it requires a detailed description of the project's nature to determine whether zakat is obligatory on it.