Is the symbolic sum of money (around $100 annually) earned from shares in a hotel that sells alcohol, which you inherited from your father and use to pay taxes, considered unlawful (haram) or lawful (halal)?

You must withdraw the money from the hotel by requesting a refund for the value of the shares. If they respond, then you should determine the proportion of prohibited activities relative to the total activity, and disburse that amount from the value of the shares for the benefit of Muslims. You should do the same with the profits generated from these shares. If they do not respond, then you should disburse the proportion of the prohibited activity from the profits of the shares for the benefit of Muslims.