If you are not up to date with the manga stop reading
Qin hasn't taken anything really. The one city of Wei they conquered during the Sanyou campaign they gave it up during the Coalition invasion. And the city they were given by Zhao, I guess went back to Zhao after the alliance ended.
Zhao has won a battle with Houken against Yan but it is unknown if they conquered any cities.
I'm not so sure about this, the coalition army actually skipped alot of cities because they all wanted the 5 armies to get there as soon as possible to start the battle deployment and make up a plan with the generals. The coalition army wanted to catch Qin off guard that's why Ei Sei and the war council had to withraw all their forces available back to Kankoku pass because they weren't ready for the pace of the incoming threat.