Is it permissible for my father to give gifts to his colleagues at the hospital, including those responsible for renewing his residency, whether for a benefit or not, and what is the ruling on the gift if it is for the sick director of passports, and am I sinful if I am the one who buys these gifts?

Among gifts, some are permissible and desirable in Islamic law, as they increase love and camaraderie, such as gifts between friends and colleagues. Others are forbidden bribes, if they are intended to establish falsehood, invalidate truth, or influence officials. It is most likely that the gifts mentioned in the question fall under the first permissible type, unless their intention is illicit. It is better to avoid giving gifts to supervisors and managers. There is no difference whether the father bought the gifts himself or delegated someone else to do so, for what matters is the intention. It is forbidden to assist someone whose gift is known to be a bribe.