I HAVE FOUND A FIX!!!!
So I bit the bullet & did a Factory Reset & it fixed the problem with the China Rising DLC not being picked up by the game, I will give you a step-by-step guide to what I did
1.Unistall ALL Battlefield 4 items (Game, DLC all Add-on)
2.Remove Your Xbox Live Account from the Xbox (This can be found by scrolling to the right in the 'Settings' section)
3.Clear Local Saved Games (This can be found in the by going to 'Settings' > 'System')
4.Your Xbox will restart after clearing local saved games.
5.Now perform the 'Factory Reset' (Found below the 'Clear Local Saved Games' button in the 'System' section)
6.Go through the initial Xbox set-up & sign back in to download your Xbox Live account.
7.Install Battlefield 4 & allow Xbox to do it's thing until fully installed.
8.Go to the Xbox Store & Re-install your Premium membership (Found in Battlefield 4's Add-ons section in the Store)
9.Start up Battlefield 4 & go to the In-Game store & select the China Rising DLC, it will show the notification prompting you to install the DLC like it does when the map packs are first released & you download it for the first time.
10.Let the DLC fully install (I kept the 'My Games' secton as my main screen with Battlefield running in the backgrond)
When you go back to Battlefield upon installation completing your DLC should be working good as new.
I hope this guide was easy to understand & hope even more that it works for you as well, if it does work for you please come back and post that it did work so others know its worth the annoyance of doing a factory reset.