There are a few good skeptical sites out there that have more information on these topics than I could post here in a hundred years

As for the planet x thing, Phil Plait does a pretty good job of taking it apart on his Bad Astronomy website
http://www.badastronomy.com/bad/misc/planetx/nutshell.htmlThe problem with these grand conspiracy theories is that they tend to collapse under their own weight. Here is an interesting article on conspiracy theories (it deals specifically with 9-11 but the premise is the same)
http://factspluslogic.com/articles/11/why-argue-the-911-conspiracy-theoryThe Mayan calendar misinterpretation is covered fairly comprehensively here
http://www.skepdic.com/maya.htmlHappy reading.