Sounds like a great idea on both counts. And actually I would add to that, create a nationwide registry of complaints against officers. There was an initial start at that in some of Biden’s police reforms, although it’s still sort of partial. Aviation dealt with this a while back, and it caused some fatal accidents until they fixed it; the system is flawed if you’re depending on the job candidate to volunteer to you the information that they were fired from some other location for incompetence. You need to have an external system in place that tracks it nationwide.
For some reason, the solution to this (again, very genuine) problem “bad cops tend to get fired and travel to some other agency” is not “let’s fix the holes that make that pattern possible” but “See? Police agencies always protect bad cops! Let’s starve them for money and make them desperate for more people!”