3 days? Heck, no. You should be fully restored within an hour, and I'm being generous. Let me back up and review:
1. You got an iPhone 5S, plugged it in to iTunes and restored from a backup that was made on your iPhone 4S or you opted to restore from iCloud.
If via iCloud, it can be a while depending on the amount of data it is restoring, but not 3 days. iTunes is quicker, and I can up and running in a matter of minutes. Having said that, I usually restore as new to prevent incidents like this. Have you gone through every screen and setting to see if the phone works as it should? If so, and if it seems okay to you, turn off the phone, wait 30 seconds and then turn it back on. Your backup may indeed be complete, but just need a reboot to clear itself.