Possibly it is my poor English which caused misunderstandings. Problem solved via tips received per Email. Solution:
.wp-caption {
background-image: none;
padding-left: 0;
}
The “thing” I wanted away was this:
background: url(resources/images/pins/Pin2.png) no-repeat center 5px #F9F9F9;
Thanks for the tip!
Website: www.brr.no/wordpressbrr