Organizing and accessing contact information in Outlook.com
Looks like now things are back up and running...
What has changed I don't know.
Only suspect is that I did put myself offline on the phone. Then I went on outlook.com and put myself offline and online again.
After some hours I switched back my facebook status online on my phone message setting.
After all messages are going and coming and also synced to the outlook.com messaging.
Boh! But good that now it works for me.