Talk about a couple of nags. Adobe Reader and Oracle Java are almost constantly asking to install new updates. What's with these two, and do you really have to accept all the updating?
But if you want to reduce some of the hassle, consider ditching Adobe Reader (which, like Windows, has a huge hacker-target on its back) in favor of a smaller, less-bothersome PDF viewer. A few good options include Foxit Reader, Nitro PDF, or Nuance PDF Reader.
As for Java, well, you're pretty much stuck with it. Take note, however, that the sneaky Java updater will try to slip the Yahoo Toolbar onto your PC.
(For more solutions to perplexing PC problems, see "The 21 Greatest PC Mysteries--Solved!")