Try to play a few games first. Try to also drag down then let the updates synch. After this, try to sign out then relogin your account. Also, perhaps other CoD accounts then check out if how it would go for you. Hope this helps.
Try refreshing the app on your iPhone. How?:
• Close the app on the background process
• Clear out the cookies and cache of the device(usually it's with the Safari caches)
However, keep in mind that servers refresh at their own rate. When you're refreshing the app, that's what exactly you're doing. Data will show respectively on your devices when the servers refresh. Just some patience and you'll see the changes accordingly. Hope this helps. Peace!