Yes you will search like link:www. website name or link:http://www. domain name or link:domain name, you will get same result.
Yes it is more than enough to know your backlinks in yahoo there is nothing more than that i am also doing the same for checking my backlinks.
I'm not sure if you are talking about Yahoo Site Explorer, but soon it will shutdown. I would recommend you check backlinks through SEO Spyglass. Here is a blog post that might help you: http://trytolearnmore.com/how-to-use-seo…