You can encourage him have to get close enough to shoot by using the shield Legendary to block shots and give him room to advance. If he tries to contest you on point then you can use Kinetic Blast to knock him off and use your shield to stay safe.
DO NOT BYE ILLUMINATE. She will still see you first. Skye's main strength is she has a lot of burst damage. Pick up Haven to survive her bust easier (and help with other champions).
Avoid relying on your turrets as a "Retaliation" Zhin has the ability to use your Turrets to get free Health from his "Perfect Block" card and can use Counter's Damage to kill you quickly. Consider picking up "Tinkerin" so you can fight, not feed.
Talus relies on his Rune of Travel to save himself from bad engagements. Look out for them and check stealth grass as he can try to use them as cover for his rune.