1. I understand you, it will be good for human visitors of site, Thickbox or other "box" script display of the full image will do it, it looks nice. But it is not good for search engine spiders, robots like Googlebot, Bing... Search engine spiders will not be able to see that full image inside Thickbox or other "box" script, and not just that, putting Thickbox or other "box" script on medium size image will ruin search engine optimization of that page.
I looked on Google your demo and few other sites from showcase which are using it, and Google do not see any images, just as I expected.
You can try:
http://images.google.com/images?client=opera&rls=en&hl=en&source=hp&q=site%3Ahttp%3A%2F%2Fwww.zenphoto.org%2Fzenphoto%2F&btnG=Search+Images&gbv=2&aq=f&oq=&aqi=
http://images.google.com/images?gbv=2&hl=en&client=opera&rls=en&sa=1&q=site%3Ahttp%3A%2F%2Fwww.sarahakkenberg.nl%2F&btnG=Search&aq=f&oq=&aqi=&start=0&imgtbs=s
http://images.google.com/images?imgtbs=s&gbv=2&hl=en&client=opera&rls=en&sa=1&q=site%3Ahttp%3A%2F%2Fbluepacificwebdesign.com%2Fportfolio%2F&btnG=Search&aq=f&oq=&aqi=&start=0
http://images.google.com/images?hl=sr&client=opera&rls=en&q=site%3Ahttp%3A%2F%2Fwww.jankardel.bplaced.net%2F&lr=&oq=&um=1&ie=UTF-8&sa=N&tab=wi
.....
In best case you can get few images of thumbs, and if you work to get proper search engine optimization (SEO) of image page you will maybe get medium size image, but when and how Google will see it, it is still a question.
This is why I need extra page, I need good static like extra page with nice URL (something like http://www.my-site-name.com/category/subcategory/image-name.jpg.(full-image).html
I guess that extra page will have link like above, maybe it will have different suffix or prefix (it will be great if I can get custom suffix or prefix, my own keyword(s) same for all pages or even better if I can customize it for any category. Generally some custom suffix or prefix even same for all pages will be great.
If I can not get extra page I will need to resize my images and to call them on image.php via <?php echo getMainSiteURL( ); ?><?php echo getUnprotectedImageURL( ); ?>
to get full URL via http>//www. and to avoid this zp-core/full-image.php?a= in image source code.
4. I can not find the good entry about user rights on user guide section or in forum about my problem with users.
I made user group with rights: "Manage all albums", "Post comments", "Tags", "View all", "Comments" and "Upload", user group do not have other rights ("Admin", "Zenpage", "Album", "Options", "Themes", and "Overview").
Now users can upload images but they can not write image description, custom data, location, city, state, copyright, credit...
Is there any way to get that on upload page or to grant rights to user to find his image and add it without possibility to edit or delete anything else?
NEW QUESTIONS

(marked with letters)
A. How to know which user uploaded image, is there any way I can call user name, ID or credit field under image, and also copyright field?
By the way, you did not ask me, but maybe you will make use of this:
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Zenphoto version 1.2.8 [4881] (Official Build)
Current gallery theme: zenpage-default
PHP version: 5.2.6
Graphics support: PHP GD library bundled (2.0.34 compatible)
PHP memory limit: 96M (Note: Your server might allocate less!)
MySQL version: 5.0.51
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Is there any way you can help me? What you can do, do you have any proposition? If you have any questions do not hesitate to ask.