Without your ally staying close and keeping distance you don't have any chance against Zhin. He can counter your Beam just with Whirl and counter you Wings of Wrath just with Billow. Zhin is danger from short distance so just be sure he is far away.
Watch out for his ability to leave behind an explosive fissure, and stay away from it! This would result in him getting healed and you taking severe damage. Make sure to track him too, so as soon as he is physical you can attack and kill him.
Movement is key! use your dashes to move around him. If you're running low, Reflect so he'll stop shooting. it'll take a little for his gun to start back up, capitalize on that time. When ruckus ults, just deflect it. he usually wont stop.
Evie is fast enough to escape from your beam and your wings of wrath. To counter her be sure she has no more blinks and soars and when it happened use your beam. You should keep just a little distance as long as you don't play on Exterminate.
As long as Koga has at least one dash it's impossible to use beam on him. To counter him you should always stay close to one ally with CC ability. Bait him to use all his dashes and stun him that he can't counter you alone.