1) Is it possible to have the event tickets show in the Woo Store?
Yes! Just edit the ticket in WooCommerce (you’ll find a link for this in the event editor – just hover over or open one of the tickets) and change the Catalog Visibility to something other than hidden.
2) Are you able to use a shortcode for event tickets into other pages / posts so that if I write a blog about an upcoming event I can have tickets to the event there at the bottom of the post?
Definitely possible – but not something that ships with the plugin at this time (though, perhaps, you could use a suitable WooCommerce shortcode if there is one, but we’d need to leave you to play with that). You can certainly suggest this as a feature or could even code it yourself – the WordPress Codex has a great entry on writing shortcodes.
Hope that helps!