Very few, at this stage. The potential for lowering anarchy really comes when you hold and (to some extent) govern territory, not just influence it. Next game (and even more in G3) you’ll have the chance to set up your informal courts and enforce some sort of law over significant swathes of Shayard (at least).
No, I don’t think so. And sports beyond the ones mentioned are something I’ve not given much thought to yet.
Might be. The Harrowing sabotage adds anarchy, and there might be one or two other non-thief options for anarchy boosts. I’ll peek through later and see.