I agree. And the who, when and where ought to be quickly accessible; it's nice if it can appear on the initial page. Our site borrows ideas from others: there is a picture or two of "the property", but also some showing the people of the church.
The "brief summary of what you believe" is hard to achieve right up front, though, and where I have seen that done it usually tends to come across rather negatively. We put it on our "Bookshelf" page.
Just use shorthand. For Anglicans, it should be easy. Just say which edition of the Book of Comman Prayer you use, and folks should be able to sort out the rest. Throw in something along the lines of 'true to the historic faith' or something similar, and throw in a link to the 39 Articles, and it should be fairly clear.
We would make a reference to the Westminster Standards and 'the historic truths of the Scriptures' to get the same message across.
I just took a quick look at the web page for your church. It looks nice. It has almost everything it needs. It probably could use a 'welcome letter' from the rector. He could take the first two paragraphs from the stewardship letter, edit them a little, and then add an invitation to a prospective member class or how ever you all do that. (And of course in HTML instead of PDF).