[JWait]

Do a search in your main.css and look for ECF3F7 which is the color of the "boxes" around the items not displaying.
Some specific things are

.checkout-payments tr.payment-details td {
background: none repeat scroll 0% 0% #ECF3F7;

div.address-book-link {
background: none repeat scroll 0% 0% #ECF3F7;

Which seem to be the boxes around the checkout data. I suggest changing the background color and not the text color as you have a dark color background on the rest of your site.

The part being "cut-off" is probably because your .checkout-container isn't set wide enough to contain all of the data.