"Natural selection does work at the level of the individual. Altruism, or apparent altruism can only evolve if the gene or genes which produce the altruistic behaviour are favoured over genes which don't produce the behaviour. Individuals which have the genes would produce more surviving offspring and the gene would increase in frequency in the population."

I don't think so. A honey bee that dies for the hive is not passing on the genes from her own body, but those of her mother in the hive and those of her sisters who become queens.

The queen, of course, has those genes, but the queen is not dying for the hive. The bees that die are indeed passing on their genes, but not directly; rather, indirectly.