I would like to know if there is any way to capture a push event on the phone in order to react to it-. I mean, is there any notification in response to a push event (when a push window pops up) ?

Does anybody know how to do?

Your photos are gone.  They were wiped when you restored your phone.  There is no "trash can".
You obviously don't understand how to use the iPhone properly.  Attached is a link to the iPhone User guide.  I suggest you read through it to avoid data loss in the future.
Best,
GDG
http://manuals.info.apple.com/en_US/iphone_user_guide.pdf

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