Web page QT movies play in Windows but not Mac browers

I have spent ages creating a web page with movies in quicktime format. However, I have tried them and they are perfect in all windows browsers (Chrome, IE, Safari, Firefox) but will not play on Mac browser (Safari).

The code I use to place movies on my page is:

<object classid="clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B"
standby="Data is loading..."
codebase="http://www.apple.com/qtactivex/qtplugin.cab" height="543"
width="700"> <param name="src"
value="../data/movies/First_Frame.mov"> <param
name="autohref" value="false"><param name="controller" value="false"> <param
name="href" value="Full_Movie.mov"><param
name="target" value="myself">
<embed
src="../data/movies/First_Frame.mov"
type="image/x-quicktime" autohref="false" controller="false"
href="Full_Movie.mov" target="myself" height="543"
width="700"></object>

Basically this allows me to click on a single frame representation of my movie (First_Frame.mov) which activates the full movie (Full_Movie.mov) to download and play. This means that when the page is loaded not all movies (there are many) will download at the same time.
When I load them on Mac Safari the first frame loads with the controller (controller should be false) and will only play the first frame as a single frame movie, rather that loading the full movie!

Can anybody help with this? I really don't want to have to re-encode movies or drastically change my code (I am a novice web programmer).