IPhone contacts aren't in the cloud?

After a bunch of annoying things happened to iPhone, I had to get it replaced. Of course being dumb me, I didn't back it up and by the time I tried to it wouldn't detect the phone and then they erased the data at the Apple store. I know that the contacts would've been saved on iCloud, as before it was working and I was able to pull up a number I had gotten after the backup. Now I'm trying to get other contacts I don't have, but are up in iCloud and it's not working. I have the iCloud settings set with contacts on, and it said to merge them and I did, but still no phone numbers. (Aka, lets say my friend's name was Susan, and I got her number after the last time I backed it up, (which was back in April 2013 by the way), I had gotten it. But I tried getting another number I got after the backup, and then nothing was there anymore. I know I said it kind of confusingly, but I'll give you more details.

You can just sign on from your computer and go to http://www.icloud.com/...icloud.com and see what you have backed up

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