adapting jquery to a html5 website

adapting jquery to a html5 website

I am countyfairgrounds.net and the site has been coded in html5 and css3
I am pretty visible and resizable on most mobile devices. 
Do I therefore need to make a separate jquery website  for mobile ? 
or can I take my present site and just adapt it with some jquery - without having a specific and separate mobile website. I am new at jquery and need help