Help! iPhone 5 works with iCloud for Contacts and Photo Stream, but Not Music!

Question

Okay, totally stumped! I have an iPhone 5, which, new, I restored from wife's iPhone 4 backup, remotely (3 Months ago). I just signed into our family Apple ID, chose the most recent backup, and did a restore. So, contacts, and photos and Apps backup to the cloud instantly, which is shared on all devices. Likewise, when my wife takes a phone picture, I can see it in the stream: all without doing an iTunes Sync. My phone's settings have my number associated with my contact card, so the phone doesn't "think" it is my wife's phone.
The dilemna: iCloud won't send my phone new music purchases from our iMac, or iPad. My phone has it's own physical identity on Find My iPhone, but interestingly, it does not appear in the list of devices, in the "Manage my Devices" section when I am signed into iTunes with my Apple ID. Furthermore, even though I have the phone settings to Sync with iTunes wirelessly, when plugged into AC power, with iTunes on, the iPhone 5 does initiate backups with iTunes; even after rebooting iTunes. My phone does not appear in the list of devices for iTunes, AND the only way I can sync with my computer is with the USB/Lightning cable. Even then, I do not get music purchases to load onto my iPhone which i have bought on my computer.
Currently running Mac OSX 10.7.5 on my iMac and IOS 6.1 on my iPhone5.
Appreciate any help,
THANKS      

Answer 1

The way I do that is to organize them on my computer. I periodically import all of the Camera Roll to the computer. That is a good thing to do to insure you have a copy in case of loss of the phone or other problem, even if you backup the phone. Import can be done by methods described in iOS: Import personal photos and videos from iOS devices to your computer
Once they are on the computer I organize them in iPhoto on my Mac. If you have a Windows computer you can organize them in folders. Once they are on the computer I delete them all from the Camera Roll on the phone to make it easier next time -- i.e., the Camera Roll always only contains the photos that I haven't yet organized.
I only want some of the pictures that I am keeping to be sent back to the phone, so in Windows I made a second copy of those (in iPhoto on a Mac I use Albums instead). I had a main folder (e.g. "Photos for iPhone") and subfolders (only 1 level below the main folder) with various topics. Then use iTunes to sync the photos back to the phone (selecting the main folder). iTunes: Syncing photos
The end result is that they are organized in Albums on the phone, are not in the Camera Roll, and I have a copy of them on my computer.