Updates and downloads are frozen. Now what do I do?

Question

I have about 3 App updates and one download that are just sitting there saying "waiting...".   It's been that way for the last couple of hours.  I have tried powering off and on.  I have tried connecting the sync cable and downloading the updates, etc. from my laptop.  They downloaded.  I synced, but the those same Apps are just sitting there saying "waiting...". 
My other Apps work.  Apps that use wireless can use it fine.
My iPad has a 14GB capacity.   About 8+ is in use and 5+ is free.  I updated to the iOS 5 last week.
What now? 

Answer 1

pjl123,
Not sure if this is going to be readable.  It looked weird after I posted it.
  Now we are getting somewhere.  That WAS helpful.   At first when you said "iTunes" I thought, "Oh, no, this guy hasn't even read the problem.  There is no iTunes on my iPad.  iTunes is on my computer, and I know the problem isn't there."
But you sure sounded like you knew what you were talking about, so I went looking.  I clicked on the App Store icon and looked around. No problem there.  Then I thought about the "Music" icon.  Wasn't that named iTunes before the update or was it iPod?  I don't remember.
Lo, and behold!   I clicked on Music, then on Store.  There was a red cirlce with a number 5 siting on top of Downloads.  I went in there and paused those downloads.  I went back out of all of that and looked at the App whose update was previously frozen.  It was sitting there completed. 
I went to Purchases and chose an old App that I had not yet downloaded.  It downloaded with no problem.
But I still had those downloads that were stuck, and there was no way to abort them; I could only pause or restart..  Drawing on previous advice from Demo, I double clicked the Home button, closed Music and iTunes, and did a two button restart thingy.  (It might have helped that downloads were set on pause.)  When I restart I went into iTunes (oh, found an icon for that, btw, that I hadn't previously seen...duh!) and restarted one of the downloads.  It downloaded.  So I took them one by one.  They have all downloaded, except for two downloads having to do with the Economist Magazine.
HERE IS THE PROBLEM  (I think)
I have an App for the Economist Magazine.  They evidently have done a complete app replacement rather than an update.  I think I no longer have the app that these issues are trying to download to.  Could that be the problem?  The downloads in question are called "Syria's Crisis" and "Babbage: November 16...".   So I guess you would consider them documents that are somehow linked to a defunct app.  I'm just speculating.
So now the question is:  How do I get rid of these two stuck downloads.?  Keeping them paused will probably solve my original problem, but I would like to clear them out.
Thanks guys for your help.  pjl123 - Correct answer.  Demo - Helpful answer (qutting App Store and restarting)
Message was edited by: BruiserTom  because the formatting shows up completely weird.