Now, that said, it sounds like you might have other problems. Before we do any other troubleshooting, though, here's what you should do first...
Start by disabling ALL your plugins. Turn them all off.
With all the plugins disabled, see if Media button starts working again. If it's fixed, start re-activating plugins one at a time, testing the Media button each time you re-activate a plugin. Depending on how many plugins you have, this can be tedious, but it's the ONLY way to narrow down what's causing the problem.
If it's still broken, then disable Adventure Journal by setting your theme to TwentyEleven. If that fixes it, let me know and I can try figure out what part of AJ is causing it.
If the Media button is still broken after all that, then WordPress is corrupt and we can go from there.