Most disagreements are of a more business or personal nature, and those are overseen by the same Courts that handle the more serious actions of criminals and ne’er-do-wells.
These Courts vary by region and settlement – some are overseen by the local Nobility, others are charged to designated people assigned by the Nobility, but in the end, Nobility is the final arbiter and is subject to their will. In general, the local head of a community is the final appeal, with most courts being presided over by a judge of some sort, and the specifics of each court vary from realm to realm.
All sentences must bear the mark of a “responsible” Noble, and this matters because the Police have nobility within their purview; as a look at the common crimes of the world will reveal, even nobles are not safe from them.
The Agency once deposed a Crown Prince of the Empire. He now spends his time trapped in a mine in the Golden range, and his sentence was life, with his Father, the Emperor, being forced to abstain. Among his crimes was an attempt on the life of his sister, the Princessa Himesama.