EXIF information is tied to the description field so all you need to do is position the description field on the right side of the image.
In JAlbum go to Albums - Settings - Advanced - User Variables and enter a variable of descriptionpos with a value of right
As for adding additional EXIF info; this is also possible but will require a little work on your behalf if it is not one of the "standard" outputs.
I have put a small "how to" together on my Inside BananAlbum website. Have a look at Customising EXIF Data and see if this helps you out.
If you don't want to position the decription field in the way I described you can always use positional variables. This will give you greater control over the positioning.
Something like description_x = image_x+image_w+20 and description_y = image_y will also work.
Another advantage of doing it this way is that you can also change the description width from its default of 200 by setting a value for description_w
All of these settings can be entered in the BananAlbum positioning tab in JAlbum.