All the message NEED to be approved by default, it is like this to avoid SPAM on page. You can disable this in configuration, just be sure that you check your page daily and delete SPAM messages.

Aha, okey. That make sense.. I'll see what I can do.

Thanks.

How can I in easiest way modify the look of the script (as far as CSS and the position of for an example rating)?

As I explained, you need to approve the comment before goes published.

How do I implement this script in a page? What part of which of the files (that are in the directory that I downloaded) do I use?

try to contact us on LIVE HELP and show where you want to integrate, we will try to help.

I was more thinking which part of which file I use to put the comment/rate-script in another file?

Tried to go in on LIVE HELP but there was no one there.

We are online around 12-14 hours a day, also if you have can install a software (TeCeO - http://www.teamcenteronline.com/), we can connect to you remotelly and help you.