So there is no way to find it at the moment?
You can also test whether you own it by clicking to write a review, rather than pressing Buy and hoping for the best. Again, pretty clunky. iTunes is a messOnly by re-downloading old purchases and it not charging you
Store > View My Account > Purchase History
It's a bit clunky, but works fine.
Surely you just looks at the apps through iTunes when you connect your phone?
iTunes stores all apps you've ever downloaded when it syncs. Those with ticks are installed on the phone currently, those without were deleted directly from your phone at some point. Just tick them, and then sync again to install them onto the new phone.
Pretty simple really.
This.
I dont see why you'd need anything else?
Not if you delete the apps from iTunes on the PC at any point.