good points,

#2 may be difficult for certain uses, since it's the system that displays the pop-up notification for push notification. But I agree it should be removed if possible.

#6 can be done with how multitouch is handled, like the wrist guard feature in note taking apps like penultimate. In most cases, just allow multitouch interactions with objects on screen.

#7, question for parents: what's the monetization policy that would work for you? - one free app from the developer, all others cost money - free app with in-app purchases, tucked away somewhere for parents - no "sample" app, all apps cost money