Hi!
Welcome to the forum!
Game Editor is a really nice program, good choice!
Well, here's how the situation with iOS and Android ports are:
Android:
Android port is in beta and can't currently be used to actually make working games ready for being sold. However, you can build yourself a test version of the game to see it run on your phone. But the beta version doesn't have any automatic scaling or anything like that, so, a resolution that suits your phone's screen, won't maybe suit your friend's phone's screen. That being said, I don't recommend starting to develop a game for Android, especially because the developer who was working on the Android port, is not developing Game Editor anymore.
iOS:
For building a game for iOS you will need xCode and a mac, to my knowledge. The iOS port works well for iPhones until iPhone 4 and it's different versions, but for iPhone 5 you'll have to build the game separately, because of the screen ratio change. But building for iPhone 5 works too, the game just won't be playable on other iPhones. (To my knowledge.)
So, developing for Android is not recommended, but development for iOS is possible. You can build games either for iPhones 1-4 and all iPads or then for iPhone 5 alone.
This is how I've understood this, but maybe someone with more experience about the iOS port can correct any mistakes I've made?
But anyway, welcome to the forum once again, and I'll see you around!
- lcl -