I suspect you may not have enough available storage space to install the updates or the iOS update.
How much space do you have? Go to Settings>General>About>Available
If there are multiple apps trying to download at once, only one can download at a time and the rest say "Waiting" until it is then their turn. Try this. Double tap the icon of the Waiting app, and it should resume the download.
How to Solve the Problem of An iPad App Download Stuck on “Waiting”
http://ipadacademy.com/2012/06/how-to-solve-the-problem-of-an-ipad-app-download- stuck-on-waiting
How To Get Rid Of Your iPad App Download Frozen Problem
http://www.sidelineapple.com/how-to-get-rid-of-your-ipad-app-download-frozen-pro blem-and-not-lose-years-of-your-life-video/
iTunes: How to resume interrupted iTunes Store downloads
http://support.apple.com/kb/ht1725
Another thing to try - Turn the iPad Off & then back ON.
If that doesn't work:
• Log out of your iTunes store account. Go to Settings > Store > Sign Out Then press the Home button.
• Then press and hold the Home and Sleep buttons simultaneously and don't release them when it brings up the Turn Off screen; keep holding them until the Apple logo appears.
• After restart, the Waiting should be gone.
If storage space is the problem, you need to delete some apps, photos, videos, etc.
iPhone, iPad, and iPod: Understanding capacity
http://support.apple.com/kb/ht1867
How much space is used by your Other? You may be able to reduce.
How Do I Get Rid Of The “Other” Data Stored On My iPad Or iPhone?
http://tinyurl.com/85w6xwn
How to Remove “Other” Data from iPhone, iPad and iPod Touch
http://www.igeeksblog.com/how-to-remove-other-data-from-iphone/
With an iOS device, the “Other” space in iTunes is used to store things like documents, settings, caches, and a few other important items. If you sync lots of documents to apps like GoodReader, DropCopy, or anything else that reads external files, your storage use can skyrocket. With iOS 5/6/7, you can see exactly which applications are taking up the most space. Just head to Settings > General > Usage, and tap the button labeled Show All Apps. The storage section will show you the app and how much storage space it is taking up. Tap on the app name to get a description of the additional storage space being used by the app’s documents and data. You can remove the storage-hogging application and all of its data directly from this screen, or manually remove the data by opening the app. Some applications, especially those designed by Apple, will allow you to remove stored data by swiping from left to right on the item to reveal a Delete button.
What is “Other” and What Can I Do About It?
https://discussions.apple.com/docs/DOC-5142
iPhone or iPad Ran Out of Storage Space? Here’s How to Make Space Available Quickly
http://osxdaily.com/2012/06/02/iphone-ipad-ran-out-of-available-storage-space-ho w-to-fix-quick/
6 Tips to Free Up Tons of Storage Space on iPad, iPhone, and iPod Touch
http://osxdaily.com/2012/04/24/6-tips-free-up-storage-space-ipad-iphone-ipod-tou ch/
Also,
How to Clear Message/iMessage Cache on iPhone & iPad And Reclaim Lots of Free Space
http://www.igeeksblog.com/how-to-clear-message-imessage-cache-on-iphone-ipad/
What is Stored in iCloud and What is Not
https://sites.google.com/site/appleclubfhs/support/advice-and-articles/what-is-s tored-in-icloud
Also,
iOS: Apple logo with progress bar after updating or restoring from backup
http://support.apple.com/kb/TS3681
Cheers, Tom