How to restore iphone after mistaken restore?

Long story short: my phone was stolen. I got a new one. I'm on a prepaid tmobile plan so they couldn't restore anything. I have(had) new contacts and pictures. My computer wasn't working for a few months. Just got it up and running so I plugged in my phone to put my music on it. It restored my phone so I got all my old pictures, contacts, and messages, BUT it deleted all my new stuff that I put on it since getting the new one! How can I just get both back? My old and new stuff?

You can't. A restore erases the phone and fills it with the stuff contained in the backup you used for the restore. Anything you put in the phone before restoring it is lost.

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