This is the 1st time that I heard PayPal was for the seller, 99.9999% of the time PP will side with the buyer.
The 1st issue is on your shoulders because you waited 1 week to do anything and this put you in a bind.
Say I am the seller, how do I know that you didn't drop the unit to cause the damage? How do I know it it got dropped in shipping? There are a lot of variables when buying online from 3rd parties. Dealing with PP as the seller, I demand using PPF&F, and as a buyer, I demand using the normal PP with buyer protection. For years, I only buy and sell with a local buyer and/or seller, much easier