Is it possible to have a different logo on the home page? Since my background is different on the home page, I would like to have a logo image with white text and an image with black text on the other pages.

Anything is possible just depends on the amount of work you want to do. You could add two <img...>'s to the 'configure header area' option in place of the %logo. Give each an ID and use CSS to display the one you want on the page you want.