Elijah Ziemann, is there anywhere close you can go for long day hikes? Day hikes are a really good practice for real backpacking, trains all the same muscles, develops the same rough hand/eye stuff you need to not slip and tweak ankles or knees, and offer a lot of the nice parts of backpacking. And they don't really require parental permssion. When I was your age I used to go for long bike rides out into the country side, then I joined a bike club, where we did club rides and things, then I started doing bike touring as I got older. But that is better out in less urban settings. Didn't start backpacking though til I was old enough to be on my own. Did camp with parents though.
From what you say, if you can't find scouting things, or other activities, you might have to wait a bit, the time passes, believe it or not. Don't stress your dad out though, he's got enough things to try to deal with as it is, head injuries are not a joke.