Indeed the Wordpress plugin is not tested on the current Wordpress version, it does function (but will be deleted from Wordpress site in the near future due to not being maintained/updated).
You can use Jalbum's albums in a frame on a Wordpress site with some skins I have tested.
Most will fail as you have seen.
This is the code I use for example for a Lucid or Animatics album.
<style>.embed-container { position: relative; padding-bottom: 60%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }</style>
<iframe src='http://ancientworld.hansotten.com/uploads/afrika/marokko/volubilus/' style='border:0'></iframe>
Ofcourse the url is specific to my website. The result is seen here:
http://ancientworld.hansotten.com/afrika/volubilis/
I got this code from Jalbum, after uploading with the internal upload function and looking at what the menu Album - Embed produced as code.