Just got a replacement Iphone for my broken one: how do i get my music/photos back?

My old iphone 4s broke, so i just received my "new" replacement one. After restoring it i retrieved all my old contacts and apps, but my music and photos, with the exception of a few old pictures, have yet to appear. My old iphone, being broken, won't stay powered on for more than a second or so. If my old iphone has a sim card or something, do i take it out and put it in the new one to transfer all my old content?

The sim card doesn't have your content on it, just your contacts and cellular ID. The iPhone, despite its absurdly high cost, doesn't have such "luxuries" as microSD cards and replaceable batteries. Wow what a great device that is… LMAO

To answer your question, I'm not sure that you can recover the stuff you lost.