Yes you have to try to use other methods first. Doesn't have to be live traps though, just that you have tried another method to control the problem and been unsuccesful. Could be fencing, guard dogs, cage traps but you need to state on the permit that you have made an attempt with something.
For the most part you need a permit for each location but you can get a permit for an area. I have applied and received a permit for a township. You just need to write a legal description of the area where the problem exists.
They are pretty lenient about granting what you ask if you fill out the form correctly.
They never to my knowledge check on anything you put on the application. If it looks OK on paper it will fly.
Permits take about two weeks. Always put down more animals on the permit then you think. Then you will never have to reapply if you reach the permits limit. Easy to have the permits extended 30 days at a time if you need.
Having a permit in hand to respond to problems whereever is not going to happen.
We have a link to the permit application on watrappers.com if you nedd to print one off.
Hope this helps.