The site doesn’t show some menus, like the "review" and "meta". So to use it I typed in the url.
I don't believe we have any plans right now to provide a mobile view for /review. It's not as simple as it might seem at first - we'd have to carefully consider how to structure the instructions for the different queues as well as still meaningfully show the posts under review and the available actions. There's just too much information there that's, at best, hard to fit on a phone screen. (Probably not as bad on a tablet, but we can't rely on folks just visiting from tablets.)
The other links, however, are there - you can find the link to the site's meta and to chat at the bottom of the page when you're using the mobile view.
Also the suggested questions that appear when you are creating a question didn't show either.
This is currently by design due to the lack of screen real estate. Personally, I think this is a good thing on Arqade since suggested questions are often related to other games anyway. :)
And the tags are having the same problem, no auto complete and even after I write down they doesn't appear to accept the text as a tag.
I get auto-complete in Safari on iOS 6.1.3. If it's not working for you, it may be a bug.