May I ask, until the issue is resolved and additional security measures are in place is it not an option to transfer the birds from this coop into the other two coops that are not suffering predation? It may not be ideal due to either mixing of the flocks or space concerns, but sometimes the risk of those can be outweighed by the reward of not losing more birds.
As to the plastic mesh, yes, it will be gone right through - the slowing will be minimal, at best, especially now that your predator(s) have come to consider this coop as their own, personal, all-you-can-eat buffet.