I doubt you have anything to worry about.
They’re not usually looking for perfection, they’re checking to see if it’s a healthy environment, and that you don’t have more pets than you & your home can support. They’ll probably want to know the basic things like where the dog will sleep & eat, and what it’s access to exercise and the outdoors will be like.
I don’t think the fact that you don’t have a fenced yard will count against you - you do have access to a dog park and you’ll have him outdoors plenty. A fenced yard isn’t a requirement, though they usually do look at the fence if you plan to let the dog out on it’s own, to check for safety.
In addition to hoarding & breeding/fighting (who’d get a pug for a fighting dog, anyway?) concerns, they also want to make sure you can take care of the dog, and won’t be bringing him back to the shelter in a few weeks. Sure, they’d take him back, but shelters don’t usually have a lot of open spaces and they’d rather the dog or cat just go to a good home the first time around.