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Mark it Damaged by USPS.

But, you can ask the sender for the credit back because of the scotch-tape/no-plastic-protection:

"If you feel that the wrapping of the book contributed to its damage en route:

• You can tell the sender this in a Personal Message
  • Please be gentle!  The sender may be new to bookswapping.
  • You can ask for your credit to be refunded if you believe it is warranted."

wouldn't it be a RWAP since they didn't follow the RC?

And be sure to put all the details in the comment to PBS box on the bottom.  If this is an ongoing problem with the sender, PBS can take action based on previous transactions.

wouldn't it be a RWAP since they didn't follow the RC?

I took it that the OP didn't have an RC for plastic wrap. So they wouldn't be able to mark it RWAP-Sender.

It would be RWAP - USPS because once it is out of the sender's hands they have no control over it.  Wrapping in plastic is not required unless you have an RC for it, so this is not a reason to ask for your credit back.  Also, the scotch tape would not be grounds to ask for a credit back because the OP said that that did not cause damage. I would though send a message to the sender as they might be new and mention that taping to the book is not allowed and just using scotch tape is not allowed.

I agree with what Christy said. It is definitely RWAP - USPS damage since that is who had possession of the book when it was rendered unpostable.  

I also agree with her that, in this case, asking for the credit back would not be warranted IMO. The Help Docs state that you can ask if the poor wrapping contributed to the damage. Since sending a book without plastic wrap is completely OK by PBS standards, I don't see how that could be considered damage caused by poor wrapping. The use of scotch tape vs packing tape IS considered poor wrapping by PBS standards, but would not make a difference on a book getting wet, which is the damage here.

Unfortunately, according to the rules here you will have to do a RWAP and blame it on the PO.  According to the rules the minute it leaves the person shipping the book, any damage becomes the responsibility of the PO even if the book was not adequately wrapped.

I certainly would ask for my credit back.  But don't hold your breath.  Since PBS doesn't make it a rule that you have to protect books from the elements, the person sending you the book can say that they did nothing wrong and refuse to refund your credit.

Me too...what Christy said 

Hey.  They taped the wrapper directly to the book.  That is so bad by itself that I'd be tempted to ask for the credit.  I know the damage falls under the category of damaged by USPS.  But Scotch tape AND taped to the book.  Whoa.