Hi, Sakin. I’m running iOS 9.1 on an iPhone 6s. I’ve tried refreshing the page, clearing out the website data for aliciabessette.com, killing and relaunching Safari, going in and out of airplane mode, etc. But the fact is, other than toggling that one WP Menu Cart plugin, I haven’t made any changes that would be affected by a refresh. And I had already put the WP Menu Cart plugin back in place, so if you see the menu, then there shouldn’t be any stale content coming into play here.
I wonder what is different about your iPhone 5 that makes it work. (I suspect the screen size difference on iPhone 6+ could be enough to make it work there.)
Here’s a screenshot of what I see on iPhone 6s:
http://aliciabessette.com/aliciabessette.com_on_iPhone6s.png