hm, the menu works on the demo site but not on your website.
In most cases this means there is an conflict with another third party plugin, module, component etc.
Please try to disable all other extensions. Test it. And if it works activate them step by step. So we can find out where the conflict comes from.
Please make sure you activate the "Show Sub-menu Items" option.
By default Joomla renders the sub menu items just if you are on the parent page or its sub pages.
If you enable this Joomla will output the submenus on every page. Than just the template hides the output via the dropdowns.
To the other issue:
hm, there is some JS compatibility issue. Could you send me a super admin account for this site to firstname.lastname@example.org? Than I can check it.
Yep, seems I missed your last mail or it lands in my spam folder...sorry for that!
I found out that this file is missing:
Thats the frameworks JS file for all related scripts (including the mobil drop down).
I test it by adding the file from an external source (the Bootstrap CDN) and it works
It can be that this file is missing or is hidden. Please check if you find this file on the location above inside your Joomla root directory. If not extract the template install pack on your local computer and upload it to this location.
If the file IS on this location please check read/write permissions.