I just ran into this problem this morning because my computer at work was "updated" from an old piece of crap to a semi-old piece of crap.
I'm now running OS 10.5.8 and was happy that Chrome was FINALLY installed – only to find that it's wonky and not running Flash.
I'm getting the same issues and windows you're seeing:
Which would lead you to:
And you'd do your install, restart Chrome... and it would still be wonky.
The problem is – you can't updated Flash in Chrome... it auto updates itself. It doesn't matter what version you download, it can't update manually.
After a little searching on the web, I found this:
So Chrome is no longer supported for Mac OSX 10.5.8 — you can either update your operating system or switch to Firefox or Safari.
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