Find those large staffing companies and submit your resume right away. Meanwhile keep learning and practicing. A junior HR person from that staffing company will be with you right there in the actual job interview sitting on your side of the table (but of course their customer is the company, you are the product, and they probably won't be much of a help and take a big cut). Maybe you need to practice that whole procedure a bit. Remember, if you can do FizzBuzz then everyone in the room breathes a sigh of relief since they had 3 people worse than you on this day already :-)

In the end you'll have an actual job as a real programmer doing Java at a bank and soon you'll realize the job is kinda boring and most of your colleagues are kinda average at their job and you realize why companies would advertise to find mid-senior level people :-)

But you've made it. You started kinda late in life and you wondered if you were smart enough to do it, but of course you put in the work and you got the results.

And now it's up to you if you want to cruise along or use that precious skill, the ability to sit down in the evenings and study and practice, and go on to do something you'll be proud of.

Can you do it? Yes.

>One of my problems is finding junior jobs. It seems whenever I go searching I see only mid-senior level jobs

Stop applying to junior jobs and thinking of yourself as a junior. "junior" is just code word for "pay me less". Get yourself to where you need to be and just apply for regular roles.

Apply for the mid levels anyway. I never post for a junior position, because we don't have the time and money required to train you up to where you need to be. However, part of this is also about confidence. If you're fresh out of school, but you code as a hobby, and are really into learning about how code works, and have some chops, then depending on the hiring round, you can easily score higher than a mid level dev that has simply worked with Visual Studio his whole career and is inept if an IDE isn't there to hold your hand the whole way through. That's beyond useless to me.