Praise be to Allah.
With regard to offering alcohol and pork to the residents of the home for the elderly, this is undoubtedly haram, and the Prophet (peace and blessings of Allah be upon him) cursed ten types of people with regard to alcohol, including the one who carries it and the one who pours it. It was narrated that Anas ibn Maalik (may Allah be pleased with him) said: “The Messenger of Allah (peace and blessings of Allah be upon him) cursed ten types of people with regard to wine: the one who presses (the grapes), the one for whom it is pressed, the one who drinks it, the one who carries it, the one to whom it is carried, the one who pours it, the one who sells it and consumes its price, the one who buys it and the one for whom it is bought.” (Narrated by al-Tirmidhi, 1295; Abu Dawood, 3674). So it is not permissible to carry it or serve it and to be paid for that. The Prophet (peace and blessings of Allah be upon him) said: “When Allah forbids people to eat something, He also forbids its price to them [i.e., they are not allowed to sell it].” (Classed as saheeh by al-Albaani – may Allah have mercy on him) in Saheeh Abi Dawood, no. 2978).
It is also well known that alcohol and pork are forbidden in the Qur’aan.
There remain two further issues of concern:
The first is that the Muslim woman who works in this home is not wearing complete shar’i hijaab.
The second is that washing the elderly people and changing their diapers will lead to seeing and touching their ‘awrahs. This is permissible in cases of necessity, but I do not think they will appoint men to take care of men and women to take care of women; usually they bring all the people together in one place and both women and men work with both sexes.
So my advice is that a Muslim woman, in particular, should not work in this place. This work is also not desirable because it involves dealing with impure things. Accepting help from the social institution, even though it involves the humiliation of the Muslim taking aid from the kaafirs, is still easier to bear that this work which involves going against sharee’ah.
We ask Allah to cause Islam and the Muslims to prevail. And Allah is the Source of help.