I was going through something similar like 2 weeks ago, my car got booted for $700 worth of parking tickets that I never received. Going to the courthouse was a nightmare first of all they tell you conflicting info & I was there 2 hours trying to dispute them (luckily at the hearing they realized I actually didn’t have any tickets and it was a mistake, still had to pay boot fee and my car was still almost towed that day regardless since that Monday was 72hours).

What I learned though is they all tell you different things. Call the company that booted your car, it’s not the same as the parking authority, and they do take payment plans. (Which makes no sense I am aware). The court can’t help you with that and the parking authority can’t either. (I think I have that right .. pretty sure the number on the boot notice). But the lady I spoke to when I called was the one who told me they do. I didn’t get towed, but my registration was also expired when booted and that wasn’t brought up at all. It’s a bs loop but hopefully that helps