Hi Kelsey and thanks for getting in touch!
Great question. We do not have a demo for testing out the back end of the plugins, but you can see how the plugin functions here: http://wpshindig.com/events/
We find that the best way to try the plugins out is to install them in your own environment. There are so many different WordPress themes and plugins out there that the best test for whether something works is to install it and give it a try. The Events Calendar itself is a free download and Events Calendar PRO comes backed with a full refund within 30 days of purchase. That should give you a fair amount of time to give things a whirl and see whether it’s the right fit for you.
As far as embedding the calendar, there are shortcodes included in Events Calendar PRO that allow you to embed calendar widgets on any page or post on your site, but unfortunately not on any external sites. One idea–if your other site is running WordPress–is to use our iCal Importer add-on which will grab events from one site and sync them up to the other.
Does this help answer your questions? Please let me know and I’d be happy to help with any other pre-sales questions as best I can!
Cheers,
Geoff