First, when typing into the address bar, you must finish and tap “search” or “go” or else all you typed will go away if you switch to another app and back again. Firefox Focus shouldn’t forget what you’re doing unless you hit the garbage can icon or force close the app.
Second, if you’re typing, and you tap anywhere I’ve marked in red in the screenshot, it erases the search/url text you’ve typed, and you have to start over. It didn’t used to do this when Firefox Focus first came out. It would be fine to put a garbage can icon somewhere in that area, but the area now that deletes what you’re typing is bigger than the keyboard, and I’ve mis-tapped there way too many times.
No for sure. But filing a bug on bugzilla may. It may be that there are Mozilla people in this community, but unlikely that posting obvious bugs on Social Media will get them fixed.