We need more information as far as what you are trying to do exactly.
Are you moving your entire application over to https, or are you requesting with ajax 1 page with https while the rest of your side is http. What code are you using? What errors are happening? We are in the dark here.
These two seem to be out of order possibly?
<script type="text/javascript" src="./js/jquery/jquery.layout-latest.js"></script>
<script type="text/javascript" src="./s/jquery/jquery.ui.core.js"></script>
Usually you include jquery and jquery ui before any other plugins.
-- Kevin