If you are looking for how-to tutorials, refer to the documentation.
Booking Activities will always work on a clean installation (no plugin, WordPress default theme). We are also doing our best to make sure Booking Activities will be working, or at least can work in any circumstances. But WordPress has a lot of plugins and themes that may interfere and cause issues. Depending on their combination, the problems can come from anywhere. Here are some frequently asked questions and their answers to help you troubleshoot.
Booking Activities only works with PHP 5.3+, WordPress 3.6+ (and WooCommerce 2.6+ if you use it).