The final part of ARR story doesn't make enough sense.

[Celvantis]

And the real murder is the king of Uldah and can do whatever he wants, for example invite the empire.

I hate to be "That guy" but Offically, Lolorito is not the Sultan, as far as the public knows Nanamo is alive but ill and the incumbent monarch.
Unoffically he isn't the sultan, he welds as much power as he ever has in the syndicate minus Teledji's influence (which would of cost him power, not gained it.), and he hasn't got any legal royal claim to the throne in any way at all.