Facebook Like Button does not publish to the liker's wall - facebook-graph-api

Question

I am trying to use the Facebook Like Button at its maximum. I am a webmaster in charge of many websites. I read a lot of answers and question, but I still reach the problem. When somebody use the like button on my Website, and let a comment, it will not publish to its profile.
First I tried to use the simple way:
(function(d, s, id){
var js, fjs = d.getElementsByTagName(s)[0];
if (d.getElementById(id)) {return;}
js = d.createElement(s); js.id = id;
js.src = "//connect.facebook.net/fr_FR/sdk.js#xfbml=1&version=v2.0";
fjs.parentNode.insertBefore(js, fjs);
}(document, 'script', 'facebook-jssdk'));
<div id="fb-root"></div>
<div class="fb-like" data-href="http://www.example.com" data-width="100" data-layout="button_count" data-action="like" data-show-faces="false" data-share="false"></div>
I have the common message in debug "Invalid App Id: Must be a number or numeric string representing the application id.", because I did not use an app_id.
I setup the OpenGraph meta and crawl them with Facebook debug, OK, no error. I use the Domain insight on this domain to get a fb:admins.
<meta property="og:site_name" content="IT IS IT" />
<meta property="og:title" content="Name of page" />
<meta property="og:type" content="website" />
<meta property="og:url" content="http://www.example.com/" />
<meta property="og:description" content="blablab" />
<meta property="fb:admins" content="10000000xxxxxx" />
<meta property="og:image" content="http://www.example.com/og-image-fb.jpg?v=14170000000" />
<meta property="og:image:type" content="image/jpeg" />
<meta property="og:image:width" content="1800" />
<meta property="og:image:height" content="945" />
<meta property="og:locale" content="fr_FR" />
And using also in HTML declaration:
prefix="og: http://ogp.me/ns# fb: http://www.facebook.com/2008/fbml"
In a very few websites, I get the feed published on the wall. But on all the others, I get nothing.
After that, I tried to make a WWW Facebook App per website, using "Information" for the type of the app (Using the App_id in OpenGraph meta + the load of the FB SDK, in addition of my fb:admins). It was working well, except I need to create 1 App for 1 site, because on every feed, it will sho MrX like a link on "Name of my App", linked to the url of the website, so I can not use a general app for all my websites.
But after 5 App, Facebook hang my account.... So I am opening a new FB personnal account at my name (I don't want to use FB for anything else then this work), so I am able to provide an ID if they block my account again.
My first question: Is creating 1 app for 1 website is a normal and legal way for Facebook ?
My second question: No way to publish on wall without app_id ? It works on 2 website I have, without it, so I am a little confused ...
Thanks !

Answer 1

Usually, Facebook blocks an account for a very good reason. So you must have done something wrong, usually you do get a reason why they blocked it. Take a look if you can appeal and if there is more information in here: https://developers.facebook.com/appeal
In general, 1 app for 1 Website/Domain is normal and you should ALWAYS use an App ID. Facebook decides about publishing it into the stream of user friends, you can´t really "force" this. It depends on many factors (popularity of the website, spam reports, ...). It will most likely get posted if the user adds a comment though - but of course you can´t force that.
TL;DR, the direct answers to your questions:
Yes.
You should ALWAYS use an App. It may work without one, but it´s not recommended.