Is it fair to treat certain members of a society unequally?

Does the idea of justice demand that we treat certain members of the society unequally?

The society in which we live is not a fair or just one. Many people die of exposure to cold in winter as they sleep under the bridge. And in summer many people die of dehydration. It is the those living in the slums whose house get bulldozed and who face power cut more often than the rest though everyone pays the electricity. The poor thus have to manage without a fan in summer so that the rich could run their AC. The poor in the slums are so often denied ration card and they struggle to get it made as the officials are not helpful. But when the rich appears they get it made easily...for various reasons! The poor people also don't have sufficient to eat and so their children too grow up facing such shortage. The children often failed to go to school and so in their later life cannot compete with the rest. Even if they go to school they go to Government run schools the facilities would be so poor. And it is because of such poor facility that the rich don't send their children to these schools. In sickness the poor suffers, and when some lethal sickness strikes they are oftentime unable to get out of it. Or even if they did get out, all their resources would have been drained.

Privileges and resources are unequally distributed. Hardship and suffering are not equally distributed in the society. The poor face injustice in their social relations so much more than the rich and the powerful. They are unable to fight for their case; they don't know all the legal systems. They are treated with less respect.

It is good that if everybody's capability could be developed. However, if there is resources crunch, the poor must get the preference over the rich to be developed. The poor has to be brought up the level of the rich. If distributive system is unequal and therefore unequal distribution of resources and hardship result, then rectifying justice must entail that more resources be channeled to those who face more injustice more.

Just distribution entails that we have to distribute resources unequally specially in the light of the practical resources constraint that we experience.