Joomla 3 actually ships with a jQuery version core. Using other jQuery versions likely only generates conflicts. So you should use the one which comes with Joomla whenever possible.
To load it you should use the command
JHtmlJquery::framework() (See http://api.joomla.org/cms-3/classes/JHtmlJquery.html#method_framework). This will load it into the head in "noConflict" mode and makes sure it's only loaded once, even when requested by multiple extensions.
In your case, I would use this code:
JHtml::script('com_yourcomponent/jssor.core.js', false, true);
JHtml::script('com_yourcomponent/jssor.utils.js', false, true);
JHtml::script('com_yourcomponent/jssor.slider.js', false, true);
JHtml::script('com_yourcomponent/slide.js', false, true);
Then put your files into following locations:
Doing it this way will even allow the template to override specific files if needed.
See the excellent blog post from Michael Babker for more details: http://www.babdev.com/blog/139-use-the-media-folder-allow-overridable-media