Those scores are FAKO scores which means they are really only useful for your own personal idea of where your FICOs may be.
Pulling your reports and scores at myfico.com is a great idea, especially now. There is a 25% off code on the main page... get yourself hooked up with the Suze Orman Plat kit with that code. You'll get all you need to get started. Pulling your own reports does no damage in this instance... it does not affect scores or anything at all.
You need to write a GW letter to the CA that is probably reporting that paid collection. One to BoA as well. But lets see where your FICOs and other major notables are to see what else you need to do before apping for a new card.
BoA might also be inclined to GW remove the derog info if you open a checking and savings account with them. You might also read on their 99/500 card as that would be good for many reasons. Much to learn here, and time well spent.

EQ 787 EX 781 TU 737 11/17/07
*** I am not an attorney. If I was, I might not clip coupons. If you want legal advice, consult an attorney. If you want my personal opinion, feel free to consider my posts***