Any plugin able to do auto submit wordpress post to Facebook ???
Not sure of any such plugin..but there's a facebook app.. called Networked Blogs.. It will publish your posts automatically to your facebook wall
There is a plugin called Wordbook which can do just that. Have used it before and it's excellent.
WordPress › Simple Facebook Connect « WordPress Plugins
I've been using it since to cross post from my blog to my Facebook Fan Page.
Works exceptionally well and is easy to implement too.
It looks like recently they broke the RSS import ability where you have to use the networked blogs app on the Facebook side to auto import links to your page or personal profile. Its a little tedious since you have to temporarily put up their widget then remove it after you see it pick up the site feed.
Here's another useful resource i found :: 12 Useful Facebook Wordpress Plugins For Bloggers