Why can't i get my music on my new iPhone?

I recently lost my iPhone 4, and today got an iPhone 5. The problem is if i go on iTunes from my new phone and try to download the music i already own it won't let me. Like if i click on an album i bought already it just says "purchased" and won't let me re download it. I don't have the music backed up on my computer.

Am i screwed?

Just call and talk to a person from Apple. They have excellent customer service.

Go into the cloud section and it will or if you see a cloud click it