Re: I am wondering about my campaign, is it running successfully?
Eilif - if you want to know if your ads are eligible to serve traffic, check the Ads tab of your campaign to see if the ads are tagged as active or eligible or what.
You can also use the Ad Preview tool to check to see if specific keywords in your campaign are triggering ads at that moment.
Please ask again if you have more specific questions!
Google AdWords Top Contributor