> But at the same time, the budget for justice system needs to increase. It should be most probably the strongest branch of the government. Delayed justice is one of the most common ways of injustice.

The judical branch should very much NOT be a part of the government itself, but a fully separate branch.

> Corruption within private companies is irrelevant, as the main ones to suffer from it are usually shareholders.

As we have seen in the past, we have the same, if not worse, power imbalances in private companies as in the public sector. I would therefore not call it irrelevant, but agree that the Justice system can help here if appropriatly staffed.

> Monopolies are not always a negative outcome on a free market if the company in Monopoly situation reaches that position by offering better products within the law. However they can be specially dangerous when they're artificially created by the Government (e.g. allocation of a common resource to a specific company --> corruption almost always follows).

Do you have a single example for a company who did not over time monetized its monopoly power to the detriment of the customer?