Can I open other binders to be viewed at private page or is there a way that someone can brows my binders from another iPhone (or from forum)?
Nope. You could upload your binders as decks maybe...
Where can I do that? And do I get to choose who can see it?
This feature is on my TODO for iMtG 2.
I've also noticed that Trade Binder won't load to your private page if it's marked as My Precious/Trade.