Okay those buttons kind of workin IE.

When click the change/Edit address buttons does not work in firefox or IE

Coupon/discount update buttons work in IE but not firefox.

Problem lies in part of browser compatibility and the jquery files

I am looking into the file jquery_checkout.php and jquery_fec_change_new_address.js found in the includes/template/your_template/jscript/jquery/ directory

Seems this is the source of the problem.