You need to attach your js using Drupal behaviors.
Drupal.behaviors.yourmodulename = {
attach: function (context, settings) {
// This code is run on page load and after every ajax request
// attach colorbox functionality here...
// the following line should do the job but I've not tested it
// we are using context so it only applies to the newly added objects
$('.colorbox', context).colorbox();
}
};
I found this blog post on the subject really useful.