The problem is with this file:
<script type='text/javascript' src='https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/custom.js?ver=3.3.1'></script>
It is using the “$” shortcut, instead of “jQuery”, this doesn’t work because WordPress loads jQuery in no-conflict mode. Swap out the “$” shortcuts and it will work.
By the way, your theme is loading both minimized and original versions of MaxImage and jQuery Cycle, you might want to remove the originals to cut back on the number of scripts that are running:
src="https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/jquery.cycle.all.js"></script>
<script type="text/javascript"
src="https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/jquery.cycle.all.min.js"></script>
<script type="text/javascript"
src="https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/jquery.easing.1.3.js"></script>
<script type="text/javascript"
src="https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/jquery.maximage.js"></script>
<script type="text/javascript"
src="https://paragrafiskform.se/wp-content/themes/paragrafiskform/js/jquery.maximage.min.js"></script>