Is Cyanogen fully compatible with Play services and stock android apps?
Luckily, Cyanogenmod is in fact compatible with play services. I am not sure about the stock apps that samsung has, as I didn't even bother trying to install them. The adb backup I made before going to CM restored properly. Google Apps are copyrighted, that's why they are not there initially. You can flash the Open GApps package as I found that to work for me best.