A:AnswerNo. Chromebooks will not run iTunes. No matter what Chromebook you use. If you must have iTunes, get a Windows PC or MAC. If you are using Android, are happy to trust everything to the cloud, then get a Chromebook.
A:AnswerThere is no embedded mobile broadband in this device. So the simple answer to your question is no. You can however buy a mobile hotspot from AT&T or another provider. This is a little device that creates a WiFi network that you could join from the Chromebook. Look for Unite Explore 4G LTE Mobile Hotspot for AT&t or the Jetpack 4G LTE from Verizon. Most of the time you can just add it to your current cell plan. If you have a smart phone you can also talk to your provider about tethering your phone to the Chromebook. Tethering uses your phone as a modem and normally can be done with a USB cable or WiFi the same way the hotspots work. There are Pros and Cons of each but if you need to talk on the phone and work online, I would suggest the dedicated hotspot.
A:AnswerI can't answer about specific applications, but the latest Chrome OS version allows you to download games and other apps designed for Android phones. My experience using such apps has been very good and I think Google will continue to improve this functionality for Chrome OS.