To see which options have been set on a jQuery UI button use:
$("#deliveryNext").button('option')
To check if it's disabled you can use:
$("#deliveryNext").button('option', 'disabled')
Unfortunately, if the button hasn't been explicitly enabled or disabled before, the above call will just return the button object itself so you'll need to first check to see if the options object contains the 'disabled' property.
So to determine if a button is disabled you can do it like this:
$("#deliveryNext").button('option').disabled != undefined && $("#deliveryNext").button('option', 'disabled')