I can answer four of these and Jack (fanac) will have to answer the other.
"1. What is with the http://fancydownloader.wikidot.com/ from mlo1 ( ok, it is for Fancyclopedia, noot saying which Version..) one of our Wikidopt Apps ?"
This is a Python program I wrote to download a Wikidot site and then to do subsequent incremental downloads to keep the local copy in sync. I use it for some management purposes, but it is entirely separate from the infrastructure Jack created to link Fancyclopedia and fanac.org.
"2. Do you have a contact form on your wiki where I ( or another user ) can put n some text and it will be sent to your mail adress? This could be a test if your mail adress is blocked by wikidot ( what I do not believe..)"
No, as I wanted to avoid spam. We can probably set one up temporarily as a test, though.
"4. Question: When I browse to your site http://fancyclopedia.org/ ( Fancyclopedia 3) I am not signed on ?
is this a "foreign owned" set up of wikidot?"
I have no idea what is happening here. I have several other Wikidot sites and I have had no problems moving between them, nor have I previously heard of your problem. I'll be happy to work with you to understand it if you like.
"5. Question: after signing in with my wikidot account I went to the system:members page and see on the page http://fancyclopedia.org/system:join the "join" Button?
(If you do not see a "Join" button directly above, that means you are already a Wikidot member and are already signed in. You don't need to join again; just send us your ID.) how is this possible?"
That's what some documentation I found on Wikidot said and it seemed to be true when I test it.