How to get my photos back on my new Iphone?

So i lost my Iphone 4 a couple weeks ago, and i finally got a new one today. I wanted to know if i could still get my photos back even if i have a different Iphone and different number and everything, I did back it up to Itunes on my computer but when i plug it in will it show up? Ok another problem i share An Apple ID with one of my friends, i can't make my own because i don't t have a credit card to put in… Anyways so we share an Apple ID and will it still show my iphone on itunes when i plug it in on my computer? Btw we use the same computer

Added (1). Seri@ For some reason when my friend got her Iphone she didn't need to put a credit card in, she just put the none option, but when i got mine (this year) i tried doing the same thing but there's no "none" option so i have to put a credit card

You don't need an credit card to make an apple id. I created my old apple id without credict card for my IPod touch. And yes you could sync your photos with itunes provided that you backup your photos.