No expert here, but I thought JQuery 1.5.1 is the first IE9 compatible version.
Could be wrong
Ken might be on to something. The current release of jQuery is 1.7.2 which is compatible with jQuery Cycle.
For the latest core library, you can link to jQuery's CDN like so:
You have some improperly nested <h3> tags around your lists on lines 170 and 191. To keep your code error free, simply delete the heading tags.
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