Credit Card Chargback

 

I had a buyer about 2 months ago order an item for about $7 and I got a chargeback thing for the transaction through paypal. I decided to fight it as it was for an unauthorised use of a Card (not realising it actually cost me $15 to do so by paypal). I stated in my claim that it was paypals and the banks fault because they initially allowed the fraudulent transaction. I had no proof of shipping an item or anything.

 

Anyway I won (after about 2 months) and they only refunded me the $7 and not the $15 fee paypal charge. Shouldn't the bank  or paypal pay the $15 fee as they have admitted they are in the wrong by refunding me.