You will qualify for the sharedrop but it won't happen in your wallet.
The PEERPLAY token is at the moment on the BitShares platform but it won't be there forever. PEERPLAY will have it's own Graphene based blockchain, just like Steem. When they'll launch their blockchain, you will be able to redeem your PEERPLAY in their wallet, on their blockchain.
It will be done probably using the keys you have in your wallet but don't worry, these guys are doing everything so a wide audience can follow. It won't be complicated and they'll provide a tutorial of some sort. If not, I'll do it myself in a blog ^^
RE: Peerplays Status Udate 09/01/2016