Rama is worshipped under a title that is not a claim to power: maryada purushottama, the supreme man within bounds. Where Krishna breaks rules and is loved for it, Rama keeps them at costs the epic does not conceal, and that is the whole of his religious character.
The Ramayana sets the pattern immediately. On the eve of his consecration, his father Dasharatha is held to a promise made long before to Kaikeyi, who asks for her own son on the throne and Rama in the forest for fourteen years. Rama does not argue. He goes, and his father dies of the grief of it, and his brother Bharata places Rama's sandals on the throne and rules as a regent rather than a king. The story is not primarily about a hero winning; it is about what obligations cost when they are honoured.
Ramrajya, the reign of Rama, becomes the standing Indian term for good government: a kingdom where the rains come, no one is poor, and no parent buries a child. Gandhi used the word constantly to describe what independence should produce, and meant by it a moral order rather than a Hindu state. The term has since been used in senses he did not intend, and the contest over it is live.
Dating the epic is a matter of ranges. Robert Goldman proposed oral composition between 750 and 500 BC and held that the archetype can hardly be earlier than the beginning of the seventh century BC. Others put the core between the eighth and the fourth centuries. Books two to six are the oldest; Hermann Jacobi argued that the first book, the Balakanda, and the seventh, the Uttarakanda, are later additions, on grounds of style and of narrative contradictions, and John Brockington extends the later compositional stages to around the third century of the common era.
This matters for Sita, because the material that troubles readers most is largely in the seventh book.