Hello and thank you.

If images are broken we should understand if it's a problem due to invalid link. Normally no operations are required after activating auto resizing for mobile images. Eventually cache can be cleared just to ensure that's not the problem.

About the homepage, it works as a standard Joomla, the home page shows contents based on the menu type and if there are featured articles to show.

If you need to hide only contents in the home page for mobile and not for desktop, some css can be easily used to do that.

Best regards

John