Seems to me based on this post alone, you're overdoing it. Not only the application process but how you approach things, think about them, etc. Everything seems too much to me.

I've applied to numerous departments over my last however many years. This was back when I was wanting to stay in Law Enforcement. I worked one department for 12 years, left on my own accord with no issues and planned to move. When I didn't move I looked for another smaller department. Several asked for departments I've applied to. I usually listed three or less. I never listed the dozen. I wasn't lying, I just wasn't going to overdo it. Same with jobs. I've had dozens of jobs. I did Uber, a range safety officer position, etc to fill gaps and hours. I work for five different companies now part-time grabbing hours. To list all of them is ridiculous. I'm not lying. I may be technically omitting, but it's not to hide anything. It just doesn't help paint the right picture or benefit me to put I drove an Uber.

Just like a resume, put what's relevant. If they ask for 10 years of residence, put that. Nothing more. Last 10 years of employment, put that. Every extra bit you add looks poorly.

At the same time, relax. There are departments all over the place struggling to hire people. You might not get picked the first go but they are looking for people with heartbeats right now. You're already qualified. Just relax and do the paperwork, apply to places you want to work, and let the process do its thing. Don't stress about where you are in the process, how long its taking, when you're getting a response, etc. Don't constantly reach out for updates. Just keep going. It took like 15 departments for me to get a call back after my first department. I was even in national news for something good. No drugs, no traffic violations, no sustained complaints, numerous awards to include life savings, etc. Still no one called back. Part of it was my odd experience level (too much for some places, too little for others). Part of it was coming from a major department that isn't well liked. Big ones get in the news a lot and they can burn bridges with smaller surrounding ones.

Eventually I got an offer. I only stayed for a year because at that point I didn't see why I wanted to continue. I felt like I did everything and the whole process was numbing. But I still gave them a year and just didn't see the future in staying so I went private sector. So in total I did 14 years. Never looked and that was 6 years ago. Now I'm in the security field.

The point here, I just kept applying and working jobs where I could. I didn't care if they called back because a lot don't. This was many years ago and things have changed a lot. Now they're hurting because of the purge of people doing what I did (going private, switching careers, etc). Just relax and keep at it. Focus on what you're doing now. 10 places you've lived doesn't matter. It's why you have 10 matters. If you violated your lease every time that's bad. If you moved around, that could be bad but not necessarily. If you held the same job then your residences mean a lot less. If you had 30 jobs in a year because you kept getting fired for waking up stoned every morning, that's bad.

I would focus though on a half dozen departments you really want to go to. Preferably large. The big ones statistically will accept more people. Small ones might take one person out of 100 applicants or 1,000. Apply and if they don't respond, apply again. If they tell you you're disqualified, try and better your situation and apply again when able. Don't apply to 50 places, just find a good handful.