Nothing should be "copied over" (thumbnails and sized images are saved in the cache folder; your album folders are left untouched) so it seems to be a problem with either your PHP/GD support or your paths.
Can we get more information, like what you mean by "there are no thumbnails" exactly?
I was looking at a post by someone who had a similar problem and you said something about the thumbnails being created on the fly by i.php so I went to that file (http://www.tuds89.worldfreeweb.com/zenphoto/zen/i.php?a=vacation-2005&i=PDR_1708.jpg&s=thumb)
and what I got was: ÿØÿà
I don't know if that helps.