Ive manage to stop it now. In the new ICS there is a tool that show you the mobile nett usage. There i could see what programs that started when the mobile nett was turned on. And it whas only a few programs, in the wifi it was a too looooong list.
But anyway, one that seem to pop up was a program/app called "Show me" or "Vis meg" (in Norwegian) It has a green icon with a small white "i" in it. That, as they said in Shawshank Redemption, started to give me s**t.
I try to kill it but it showed up again. Then i go to settings-apps and hit the tab all apps and scrolled down to the "Show me" app. I could see there is 2 apps running, 1 was the widget, so i killed them both aaaaand deactivate them. In the new ICS you can deactivate apps that you cant uninstall, so that they dont start up again when ever you go on nett with wifi or the mobile nett. Ive done the same with Facebook-Flickr and Google+ and so on. I never have or will use them so i dont need that s**t.
Now it doesnt go online anymore after 12 o'clock midnight, when i unlock the screen on the phone. We need an update or something, because this is not the way it should be done. By the way, the app "Show me" is a tool for people that uses a smart phone for the first time. Like a manual. So i really dont need it.
And yes i try to turn everything off in the settings for the app "Show me", but it still made it fubar.