Also, there are no buttons using Chrome on iPhone - see screenshot. Safari works great
Took a few minutes to check this out. What iPhone are you using and what version of Chrome? Everything seems to work and look fine for me on my old iPhone 6s Plus with Chrome 87.0.4280.77 (current app store version) on iOS 14. Seems like your version has a larger footer? Weird.
As I said, you cannot install the app using Chrome on the iPhone, Apple only allows that with Safari. So you will only be able to use the site in the browser, instead of full-screen.