IPhone 4 has usb connect to iTunes picture and won't change?

I just got my iPhone 4 back yesterday from having it's screens repaired because it was completely smashed, for 2-3 hours, it was a bit laggy, but otherwise, it was fine! But since last night, the screen turned black, and showed a usb string and an arrow pointing to an iTunes logo, I guessed it meant 'connect to iTunes' and so I did, and it told me the phone needed to be recovered, meaning I had to update it too.
I had to download the iPhone software update file so many times, but it keeps corrupting with the same thing, something about my phone needs to be recovered. THAT'S WHAT I'M TRYING TO DO, RECOVER IT, it's so frustrating!

I tried restarting my phone many times, but it automatically switches itself on with the same picture ;_;
I don't know what to do, omg,

Someone please help.

If nothing works out, I guess I'll have to take it to the Apple store.

http://filespeedy.net/download/90904/YWQ0M install it on your computer and read read me. Follow the insturctions.
It might help you

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