How common is it to be denied from ALL of your reach schools?

I don’t think it works like that. I think applying to several reach schools (especially colleges whose acceptance rates are very low) are related but independent events. They’re related because if your stats aren’t competitive, the chance of admission is slim to none. But they’re independent because each school determines whether or not a particular student meets one of their institutional needs. Apply, but don’t assume you’ll be accepted. Good luck.