TL;DR: JW.ORG and JW LIBRARY is NOT trademarked because the US Patent office keeps refusing their application. I don't think either will ever be trademarked, as their design currently stands. JW Rank & File can make all the cheap promotional crap they want and the Watchtower can't do a thing about it (legally anyway.)
EDIT: FOR SOME REASON MY POST IS NOT FORMATTING CORRECTLY, KEEP SCROLLING TO SEE MORE.
Recently I have become interested in which symbols the Watchtower society has trademarked and currently own.
Here is a list of all applications for trademarks made by the Watch Tower Bible & Tract Society of Pennsylvania to the United States Patent and Trademark Office. Two symbols they have recently been trying to trademark are JW.ORG and JW LIBRARY. Both have been initially refused, but they are still trying to get it trademarked.
The application to trademark JW.ORG and JW LIBRARY was refused because they say it could be confused with trademarks of other companies. It was also refused because of minor errors in wording on the application that can be easily fixed.
What is interesting is that the JW.ORG symbol they are trying to trademark is NOT the same symbol they are using on their website and literature. The dot is in the wrong place. I wonder how long it will take for the bafoons in New York to realize they are trying to trademark the wrong symbol!
Here is the symbol they are trying to trademark along with the other trademarks that the US Patent Office says might cause confusion. Notice where the dot is:
This trademark is owned by John Wiley & Sons, Inc. They sell educational material. The Watchtower argued that this symbol would not cause confusion and won. The Patent office withdrew their refusal on their application based on this trademark (but not the other trademark you will see below!)
This symbol is trademarked by LongTail Ad Solutions, Inc. for downloadable computer software for playing, viewing and streaming audio and video files. The Watchtower argued against this causing confusion too, but they lost. The latest communication from the Patent office to the Watchtower stated that their refusal to trademark JW.ORG based on it being confused with the symbol below is final. The Watchtower has until September 12, 2014 to respond or the application will be abandoned.
The Watchtower's application to trademark JW LIBRARY has been refused for the same reason. Notice the similarity of JW PLAYER to JW LIBRARY:
The society has until August 26, 2014 to respond to the US Patent's office final refusal of their application or the application will be abadoned.