The problem is that jQuery Cycle isn't responsive. It sets the width of your images and can only change them on refresh. So, try a more responsive slider like Flexslider.
Also, I suggest that you don't point to scripts hosted on github (cycle plugin).
And lastly, these three files don't exist and I know if jQuery v1.3.1 did exist, it would cause problems because it would try to override v1.7.2.
my problem is that when I resize to view as iPad (tablet) and iPhone size the responsiveness works but I need to refresh the page
See screen grab
http://aet.inpreview.net/test/images/Screen2.png
here is my HTML
Also, I suggest that you don't point to scripts hosted on github (cycle plugin).
And lastly, these three files don't exist and I know if jQuery v1.3.1 did exist, it would cause problems because it would try to override v1.7.2.