Re: How long before You can Google without full URL?
You're talking nonesense... your site is indexed whether you put http:// or not. But you shouldn't be worried about such a minor detail, you need to be found by keyword searches not your url... which you will find virtually impossible as your site is not optimised for the web. Poor/lack of META data, poorly made pages with your text made as an image which the search engines can't read... you need a rethink here.
Don't aim for success if you want it; just do what you love and believe in, and it will come naturally.