I recently started a website for myself and have uploaded
and created links for videos of mine that I made with
imovie, whenever I click on the links I get my movie and it
plays fine in Quicktime, yet when ever someone else clicks
on it they get a broken image or nothing plays, how do i
fix this or is it on their end?

What does the httpd log and error log files say ?

check what version of plugin you have for quictime, and what version they have, check also the movie itself and what system requirements are needed to play, may also put plugins on site for them to link to as well.:)