Easyshare 6.0.2 when downloaded from Kodak is a standalone installer Application, not an installer package ....it can't be opened directly by "Installer" but should simply run on its own when double-clicked. I imagine that the Kodak supplied CD version is exactly the same.....
ctrl-click on the easyshare installer, choose 'get info' , in the 'Kind' section it will likely say "Application - Universal" If so, then that explains why 1: Installer won't open it, and 2: why there's no 'open with' dialogue for it.
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The previous system should be ( just as your Console message said...) in HD/Previous Systems.localized/Previous System 1/ It's not normally invisible.
http://docs.info.apple.com/article.html?artnum=107120 explains how the Archive and Install works, I don't know offhand why some people get Previous Systems
.localized rather than plain 'Previous Systems' but it doesn't seem uncommon.
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Apple say "Don't install older versions of Mac OS than what comes with your computer" so I wonder if that might cause you problems later? Certainly something seems off here ( the default application for anything shouldn't be pointing at something in the Previous System )
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Anyway, assuming you're gonna soldier on for now with Tiger on a Leopard-shipped Mac.... I guess that leaves the Easyshare installer not working? If you've double-clicked the Easyshare installer, it bounced in the Dock, and nothing more happened; there
might be something in the Console log explaining why.... or a crash log for it in /Users/BigBob/Library/Logs/CrashReporter/
try the Easyshare installer app again - & look at the console log for clues while you do it.