The post pages have the main site title next to the menu toggle. The site title does not work as a link as it should on mobile. It works fine on desktop and tablet.
Also, on an iPad the post title in vertical view is pushed all the way to the top overlapping the site title and tucked in behind the menu toggle.
I’m not seeing that behaviour on posts on the Intergalactic demo site:
https://intergalacticdemo.wordpress.com/2011/09/20/welcome-to-espresso/
I also checked this post on the demo site that doesn’t have a featured image, and it displays fine on iPad in portrait mode.
This means that it’s likely something specific to your site that’s caused both these issues. Since you’ve made a lot of customizations, I’d suggest troubleshooting by one of these two methods:
– Back up your theme and then undo your changes bit by bit, checking your site in between each removal to find the culprit.
– Alternatively, you could do the reverse – remove all the changes and then add them back piece by piece.
In this way you should be able to narrow down what’s causing the two issues you’ve discovered on mobile devices.