Answer to: Recovery mode data recoveryIf you do not have backups to your computer, the other option is iCloud. Otherwise, unfortunately there are no other options because once a device is in recovery mode, you will have to restore it to the latest IOS
Answer to: Screen is black, but when is recognized by itunesIf the phone vibrates, that only means that the phone is functional. If the display is black/white, that can very well mean that you broke the flex cable that connects the screen to the motherboard. If the display is displaying something(battery charging or home screen) but it cannot sensor your touch, it is the digitizer's problem. Either way, the solution would be to replace the whole screen housing as it is very hard for normal consumers to separate digitizers from screens and fuse together a working one. Note: If your iPhone is 6 or above, it is very wise to bring it to the Apple Store because any change to the screen housing would deactivate your touchID
Answer to: Is it possible to swap screens between iPhone 5 and iPhone 5c?i believe they are not the same. as far as i know the side trimming is a little different and the 5c screen is less thin as the 5 was.