First off, glad your issue has been resolved. You posted that you were getting a 404 error which meant the post didn't exist, or WordPress didn't know how to process the URL and load the correct post ID. By default, WordPress uses a pretty basic, but not pretty, permalink structure. When we install the plugin, it creates a custom post type called "brackets".
You'll notice when you navigate to your bracket it will be something like http://www.domain.com/bracket/bracket-1 or something. When the plugin is installed, it has to add that rewrite information for "bracket" to be in the URL. For some reason when you installed it, that info was not updated. By saving it, it refreshes all of the rules.
I should also note, that the bracketpress_edit shortcode should be placed on a REGULAR page. Not a "bracket" page.
Let us know if you have any other questions or comments. We'd love to move the conversation to our support forums at http://www.bracketpress.com -- we have better systems in place to scale our support there.
Thanks again for your interest!