Raccoons, opossums, mice, rats, dogs, cats, weasels, foxes, bobcats, snakes, coyotes, wolves. Then from above hawks and birds of prey.
In regards to your coop/run would you mind showing us pics of your previous?
In regards to the things I would say personally. I would prefer a coop/run where it is clear on all 4 sides (this way predators can't hide and work). You can then do perimeter checks on a semi routine basis. I would suggest as you have 19gage welded wire or as some call it hardware wire. Burying the wire around all edges of the coop and run and flaring outward by at least 12". I highly suggest a coop door closer as sometimes work and life prevent you from being there at closing time. Windows done with welded wire. Doors having locks that you know an intelligent predator can't operate (raccoons have high hand and finger dexterity and are intelligent).
I would suggest motion detector lighting facing outward from the coop so that if movement is detected the predator is blinded for a moment and also you have a chance of seeing what's lurking.
I would also put in cameras that record so you can see how the predator is accessing your coop/run. Also it will hopefully see the areas they were hitting so that way you know what other areas to improve.
These are just some of the things I can think of right now off the top of my head if I was having issues with predators.