Hello @chatinpu,
As we inspecting your site we found that you have set your Front page displays to Your latest posts.
So to display the Carousel feature go to Admin panel > Appearance > Customize > Static Front Page and set Front page displays to A static page. Now assign the pages for front page display and posts page display .
As for mobile menu it is working fine when tested locally so the menu might have not worked due to the caching plugin.
So please once deactivate the caching plugin and verify the error.
If that does not solve the issue kindly let us know.
Best Regards!!