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I took a look at your jotform and I can see that there are conflicting codes on your website that are not allowing it to work properly.
For example, you could take a look at the date dropdown - which has gray color text for options instead of black as shown when you go to your jotform directly: http://www.jotformeu.com/form/51095481582358
Due to the conflict, the only embedding that would work properly for you is to use the iframe embed code.
Do let us know how it goes and if you have any further issues after doing so.