Not chickenwire, though, I hope you mean hardwarecloth? Bear in mind that chickenwire (the hex stuff) is just not predator-safe.
There are 2 easter eggers and 3 black sex links in the coop now
That helps... it looks like your coop is, what, maybe 4x6? so with just 5 chickens in there at least there is a more reasonable stocking density than the people selling that type coop usually claim they'll hold. The fewer chickens, the less ventilation you can get away with. I still really, really think you should add some, though.
If you add soffit vents, I would suggest just pulling off the soffit and MAKING that your vent, rather than doing this hole-saw-and-2"-circular-metal-vent-thingies approach that people sometimes do. Two inch circles really do very very little for ventilation, compared to having the whole darn thing be mesh. It is easy to close off part of what you've got if you need to; but if all you've got is a buncha 2" circles and it's still too humid in there, a solution requires work and the demolition of all those little 2" holes you worked so hard to install. So I'd really suggest erring on the side of MORE ventilation, rather than less
Good luck, have fun,
Pat