@Shun - on #1, which radical number are you referring to? (where would you normally see it?)
On #2, you can already get to that via the [+] button - I'm a little wary of adding any more options to that menu than necessary since it's already kind of crowded now.
On #3, thanks for catching that - embarrassing little error.
On #4, that looks like an old one, actually - bug in the original database.
#5 I'm not seeing - how do you have things configured in Settings / Search Interface / Search Results Layout?
On #6, good point, yes - we can certainly do that.
#7 there's not much we can do about unless Oxford supplies official Pinyin for those example sentences, which they haven't so far. (they don't want us filling information like that independently since people might blame them for any resulting errors)
#8 the developers of our PDF decoder library have found and reproduced the bug, but as they're rather busy with iOS 8 updates at the moment they probably won't have it fixed until their next major update (which will likely be released on our end in Pleco 3.2).
#9 I'm seeing too, thanks!