I've been looking for a good iOS Facebook API/SDK Wrapper, can't find any.
I need to be able to (with a few lines of code, not the insanely needed by Facebook's API):
Is there any wrapper simplifying the absurd vanilla API?
https://developers.facebook.com/docs/reference/apis/ This should help and it is Facebook's official api. Here's the documentation: https://developers.facebook.com/docs/ios/
You might be able to use portions of ShareKit for this (be sure to abide by their license): https://github.com/ShareKit/ShareKit/tree/master/Classes/ShareKit/Sharers/Services/Facebook
This doesn't do everything you asked, but it's a (clean) starting point at least: https://github.com/mobitar/Zuckerkit
This does a bit more, but hasn't been updated in a year: https://github.com/sinnerschrader-mobile/S2M-Facebook-iOS
I found this lib: https://github.com/lucascorrea/SCFacebook
It seems to use a not that outdated version of the iOS SDK (3.18 vs. current 3.21), is available on cocoapods and seems to cover many of your required API features.
I haven't used the lib my self, but i am considering it next time i have to develop an iOS App which needs to connect to facebook.