Recent versions of Wordpress have a habit of automatically adding unwanted paragraph tags around various types of content, including our booking script which then prevents it from working.
As it's such a well known issue within the Wordpress community, there's a really easy fix which involves adding the plugin "Toggle wpautop" (wordpress auto paragraph).
Download and install the plugin, activate it.
Then from within your booking page, just tick the box to disable those additional tags being added.