So your home page (which is always named index) is page 1 of your cartoons?
I'm sure there are better ways, but I would simply change the text at the bottom of the page to read: More Cartoons... and any links to page 1 Cartoons would be to your home page. Then add Page 1 to the text links on your cartoon pages.
Your links to your Home page throughout the site should read:
http://www.whitemice.net/
You do not have to include the "/index.html" for the home page - all other links to other pages do need the full URL.
There is something about your home page that is not right but I'm not sure what. I cannot get to your site if I add index.html to the URL and I should be able to do so. I checked for Index.html but didn't find it either. Someone will respond with the answer to this I bet.
Have you published all of these pages? I am also unable to go to any of the pages from your links
And the mouse by the mouse in your banner shows this link:
h t t p://w w w.whitemice.net/w w w.whitemice.net/index.html
(I added the spaces to prevent linking)